|
|
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| |Email address=Scott.Peckham@colorado.edu | | |Email address=Scott.Peckham@colorado.edu |
| |Phone=303-492-6752 | | |Phone=303-492-6752 |
| |/_10000)λ=residual water content (unitless)
| |
| K = Ks * Θeη/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψB (Θe-c/λ - 1)1/c - ψA = pressure head (meters) (see Notes below)
| |
| These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation.
| |
| |/_10000)^λ=residual water content (unitless)
| |
| K = K_s * Θ_e^η/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψ_B (Θ_e^-c/λ - 1)^1/c - ψ_A = pressure head (meters) (see Notes below)
| |
|
| |
| These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation.
| |
| |</nowiki>_/_10000)^λ=residual water content (unitless)
| |
| K = K_s * Θ_e^η/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψ_B (Θ_e^-c/λ - 1)^1/c - ψ_A = pressure head (meters) (see Notes below)
| |
| }} | | }} |
| {{Model identity | | {{Model identity |
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| |One-line model description=Infiltration process component (Richards 1D method) for a D8-based, spatial hydrologic model | | |One-line model description=Infiltration process component (Richards 1D method) for a D8-based, spatial hydrologic model |
| |Extended model description=This process component is part of a spatially-distributed hydrologic model called TopoFlow, but it can now be used as a stand-alone model. | | |Extended model description=This process component is part of a spatially-distributed hydrologic model called TopoFlow, but it can now be used as a stand-alone model. |
| |/_10000)λ=residual water content (unitless)
| |
| K = Ks * Θeη/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψB (Θe-c/λ - 1)1/c - ψA = pressure head (meters) (see Notes below)
| |
| These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation.
| |
| |/_10000)^λ=residual water content (unitless)
| |
| K = K_s * Θ_e^η/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψ_B (Θ_e^-c/λ - 1)^1/c - ψ_A = pressure head (meters) (see Notes below)
| |
|
| |
| These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation.
| |
| |</nowiki>_/_10000)^λ=residual water content (unitless)
| |
| K = K_s * Θ_e^η/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψ_B (Θ_e^-c/λ - 1)^1/c - ψ_A = pressure head (meters) (see Notes below)
| |
| }} | | }} |
| {{Model technical information | | {{Model technical information |
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| |CCA component=Yes | | |CCA component=Yes |
| |IRF interface=Yes | | |IRF interface=Yes |
| | CMT compontent=Yes |
| |Memory requirements=Standard | | |Memory requirements=Standard |
| |Typical run time=Minutes to hours | | |Typical run time=Minutes to hours |
| |/_10000)λ=residual water content (unitless)
| |
| K = Ks * Θeη/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψB (Θe-c/λ - 1)1/c - ψA = pressure head (meters) (see Notes below)
| |
| These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation.
| |
| |/_10000)^λ=residual water content (unitless)
| |
| K = K_s * Θ_e^η/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψ_B (Θ_e^-c/λ - 1)^1/c - ψ_A = pressure head (meters) (see Notes below)
| |
|
| |
| These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation.
| |
| |</nowiki>_/_10000)^λ=residual water content (unitless)
| |
| K = K_s * Θ_e^η/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψ_B (Θ_e^-c/λ - 1)^1/c - ψ_A = pressure head (meters) (see Notes below)
| |
| }} | | }} |
| {{Input - Output description | | {{Input - Output description |
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| nnodes = number of subsurface vertical nodes | | nnodes = number of subsurface vertical nodes |
|
| |
|
| The behavior of this component is controlled with a configuration (CFG) file, which may point to other files that contain input data. Here is a sample configuration (CFG) file for this component: | | The behavior of this component is controlled with a configuration (CFG) file, which may point to other files that contain input data. |
| Method code: 4
| |
| Method name: Richards_1D
| |
| Number of layers: 3
| |
| Time step: Scalar 60.0 (sec)
| |
| Ks: Scalar 7.20000010915e-06 (m/s)
| |
| Ki: Scalar 9.84968936528e-08 (m/s)
| |
| qs: Scalar 0.485 (none)
| |
| qi: Scalar 0.375807627781 (none)
| |
| qr: Scalar 0.0815254493977 (none)
| |
| pB: Scalar -0.785999984741 (m)
| |
| pA: Scalar 0.0 (m)
| |
| lambda: Scalar 0.188679238493 (none)
| |
| c: Scalar 1.0 (none)
| |
| dz: Scalar 0.03 (m)
| |
| nz: Scalar 20 (none)
| |
| Closest soil_type: silt_loam
| |
| Ks: Scalar 6.94999995176e-06 (m/s)
| |
| Ki: Scalar 3.29297097399e-08 (m/s)
| |
| qs: Scalar 0.451 (none)
| |
| qi: Scalar 0.328764135306 (none)
| |
| qr: Scalar 0.071217406467 (none)
| |
| pB: Scalar -0.477999992371 (m)
| |
| pA: Scalar 0.0 (m)
| |
| lambda: Scalar 0.185528761553 (none)
| |
| c: Scalar 1.0 (none)
| |
| dz: Scalar 0.03 (m)
| |
| nz: Scalar 20 (none)
| |
| Closest soil_type: loam
| |
| Ks: Scalar 2.45000002906e-06 (m/s)
| |
| Ki: Scalar 3.11491927151e-08 (m/s)
| |
| qs: Scalar 0.476 (none)
| |
| qi: Scalar 0.412771789613 (none)
| |
| qr: Scalar 0.15295787535 (none)
| |
| pB: Scalar -0.63 (m)
| |
| pA: Scalar 0.0 (m)
| |
| lambda: Scalar 0.117370885713 (none)
| |
| c: Scalar 1.0 (none)
| |
| dz: Scalar 0.03 (m)
| |
| nz: Scalar 20 (none)
| |
| Closest soil_type: clay_loam
| |
| Save grid timestep: Scalar 60.00000000 (sec)
| |
| Save v0 grids: 0 Case5_2D-v0.rts (m/s)
| |
| Save q0 grids: 0 Case5_2D-q0.rts (none)
| |
| Save I grids: 0 Case5_2D-I.rts (m)
| |
| Save Zw grids: 0 Case5_2D-Zw.rts (m)
| |
| Save pixels timestep: Scalar 60.00000000 (sec)
| |
| Save v0 pixels: 0 Case5_0D-v0.txt (m/s)
| |
| Save q0 pixels: 0 Case5_0D-q0.txt (none)
| |
| Save I pixels: 0 Case5_0D-I.txt (m)
| |
| Save Zw pixels: 0 Case5_0D-Zw.txt (m)
| |
| Save stack timestep: Scalar 60.00000000 (sec)
| |
| Save q stacks: 0 Case5_3D-q.rt3 (none)
| |
| Save p stacks: 0 Case5_3D-p.rt3 (m)
| |
| Save K stacks: 0 Case5_3D-K.rt3 (m/s)
| |
| Save v stacks: 0 Case5_3D-v.rt3 (m/s)
| |
| Save profile timestep: Scalar 60.00000000 (sec)
| |
| Save q profiles: 0 Case5_1D-q.txt (none)
| |
| Save p profiles: 0 Case5_1D_p.txt (m)
| |
| Save K profiles: 0 Case5_1D_K.txt (m/s)
| |
| Save v profiles: 0 Case5_1D_v.txt (m/s)
| |
| |Input format=ASCII, Binary | | |Input format=ASCII, Binary |
| |Output format=ASCII, Binary | | |Output format=ASCII, Binary |
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| |Visualization software needed?=Yes | | |Visualization software needed?=Yes |
| |Other visualization software=VisIt | | |Other visualization software=VisIt |
| |/_10000)λ=residual water content (unitless)
| |
| K = Ks * Θeη/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψB (Θe-c/λ - 1)1/c - ψA = pressure head (meters) (see Notes below)
| |
| These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation.
| |
| |/_10000)^λ=residual water content (unitless)
| |
| K = K_s * Θ_e^η/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψ_B (Θ_e^-c/λ - 1)^1/c - ψ_A = pressure head (meters) (see Notes below)
| |
|
| |
| These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation.
| |
| |</nowiki>_/_10000)^λ=residual water content (unitless)
| |
| K = K_s * Θ_e^η/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψ_B (Θ_e^-c/λ - 1)^1/c - ψ_A = pressure head (meters) (see Notes below)
| |
| }} | | }} |
| {{Process description model | | {{Process description model |
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| |Describe time scale and resolution constraints=The basic stability condition is: dt < (dx / u_min), where dt is the timestep, dx is the grid cell size and u_min is the smallest velocity in the grid. This ensures that flow cannot cross a grid cell in less than one time step. Typical timesteps are on the order of seconds to minutes. Model can be run for a full year or longer, if necessary. | | |Describe time scale and resolution constraints=The basic stability condition is: dt < (dx / u_min), where dt is the timestep, dx is the grid cell size and u_min is the smallest velocity in the grid. This ensures that flow cannot cross a grid cell in less than one time step. Typical timesteps are on the order of seconds to minutes. Model can be run for a full year or longer, if necessary. |
| |Describe any numerical limitations and issues=This model/component needs more rigorous testing. | | |Describe any numerical limitations and issues=This model/component needs more rigorous testing. |
| |/_10000)λ=residual water content (unitless)
| |
| K = Ks * Θeη/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψB (Θe-c/λ - 1)1/c - ψA = pressure head (meters) (see Notes below)
| |
| These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation.
| |
| |/_10000)^λ=residual water content (unitless)
| |
| K = K_s * Θ_e^η/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψ_B (Θ_e^-c/λ - 1)^1/c - ψ_A = pressure head (meters) (see Notes below)
| |
|
| |
| These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation.
| |
| |</nowiki>_/_10000)^λ=residual water content (unitless)
| |
| K = K_s * Θ_e^η/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψ_B (Θ_e^-c/λ - 1)^1/c - ψ_A = pressure head (meters) (see Notes below)
| |
| }} | | }} |
| {{Model testing | | {{Model testing |
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| *See /data/progs/topoflow/3.0/data on CSDMS cluster. | | *See /data/progs/topoflow/3.0/data on CSDMS cluster. |
| |Describe ideal data for testing=Several test datasets are stored on the CSDMS cluster at: /data/progs/topoflow/3.0/data. | | |Describe ideal data for testing=Several test datasets are stored on the CSDMS cluster at: /data/progs/topoflow/3.0/data. |
| |/_10000)λ=residual water content (unitless)
| |
| K = Ks * Θeη/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψB (Θe-c/λ - 1)1/c - ψA = pressure head (meters) (see Notes below)
| |
| These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation.
| |
| |/_10000)^λ=residual water content (unitless)
| |
| K = K_s * Θ_e^η/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψ_B (Θ_e^-c/λ - 1)^1/c - ψ_A = pressure head (meters) (see Notes below)
| |
|
| |
| These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation.
| |
| |</nowiki>_/_10000)^λ=residual water content (unitless)
| |
| K = K_s * Θ_e^η/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψ_B (Θ_e^-c/λ - 1)^1/c - ψ_A = pressure head (meters) (see Notes below)
| |
| }} | | }} |
| {{Users groups model | | {{Users groups model |
| |Do you have current or future plans for collaborating with other researchers?=Collaborators include: Larry Hinzman (UAF), Bob Bolton, Anna Liljedahl (UAF), Stefan Pohl and others | | |Do you have current or future plans for collaborating with other researchers?=Collaborators include: Larry Hinzman (UAF), Bob Bolton, Anna Liljedahl (UAF), Stefan Pohl and others |
| |/_10000)λ=residual water content (unitless)
| |
| K = Ks * Θeη/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψB (Θe-c/λ - 1)1/c - ψA = pressure head (meters) (see Notes below)
| |
| These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation.
| |
| |/_10000)^λ=residual water content (unitless)
| |
| K = K_s * Θ_e^η/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψ_B (Θ_e^-c/λ - 1)^1/c - ψ_A = pressure head (meters) (see Notes below)
| |
|
| |
| These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation.
| |
| |</nowiki>_/_10000)^λ=residual water content (unitless)
| |
| K = K_s * Θ_e^η/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψ_B (Θ_e^-c/λ - 1)^1/c - ψ_A = pressure head (meters) (see Notes below)
| |
| }} | | }} |
| {{Documentation model | | {{Documentation model |
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| |Manual model available=Yes | | |Manual model available=Yes |
| |Model website if any=This site. | | |Model website if any=This site. |
| |/_10000)λ=residual water content (unitless)
| |
| K = Ks * Θeη/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψB (Θe-c/λ - 1)1/c - ψA = pressure head (meters) (see Notes below)
| |
| These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation.
| |
| |/_10000)^λ=residual water content (unitless)
| |
| K = K_s * Θ_e^η/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψ_B (Θ_e^-c/λ - 1)^1/c - ψ_A = pressure head (meters) (see Notes below)
| |
|
| |
| These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation.
| |
| |</nowiki>_/_10000)^λ=residual water content (unitless)
| |
| K = K_s * Θ_e^η/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψ_B (Θ_e^-c/λ - 1)^1/c - ψ_A = pressure head (meters) (see Notes below)
| |
| }} | | }} |
| {{Additional comments model | | {{Additional comments model |
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| *The Numerical Python module (numpy) is used for fast, array-based processing. | | *The Numerical Python module (numpy) is used for fast, array-based processing. |
| *This model has an OpenMI-style interface, similar to OpenMI 2.0. Part of this interface is inherited from "CSDMS_base.py". | | *This model has an OpenMI-style interface, similar to OpenMI 2.0. Part of this interface is inherited from "CSDMS_base.py". |
| |/_10000)λ=residual water content (unitless)
| |
| K = Ks * Θeη/λ = hydraulic conductivity (m / s) (see Notes below)
| |
| ψ = ψB (Θe-c/λ - 1)1/c - ψA = pressure head (meters) (see Notes below)
| |
| These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation.
| |
| |/_10000)^λ=residual water content (unitless)
| |
| K = K_s * Θ_e^η/λ = hydraulic conductivity (m / s) (see Notes below)
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| ψ = ψ_B (Θ_e^-c/λ - 1)^1/c - ψ_A = pressure head (meters) (see Notes below)
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| These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation.
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| |</nowiki>_/_10000)^λ=residual water content (unitless)
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| K = K_s * Θ_e^η/λ = hydraulic conductivity (m / s) (see Notes below)
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| ψ = ψ_B (Θ_e^-c/λ - 1)^1/c - ψ_A = pressure head (meters) (see Notes below)
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