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Model:Sun fan-delta model + (Key physical parameters include sediment g … Key physical parameters include sediment grain size, sediment, density, water and sediment discharge, run time, the initial surface slope, the threshold sediment flux to propagate a new channel, and the allowed channel superelevation above the surrounding topography before avulsion. These parameters and the governing equations for the model are fully described in Limaye et al. (2023), Effect of standing water on formation of fan-shaped sedimentary deposits at Hypanis Valles, Mars, https://dx.doi.org/10.1029/2022GL102367s, https://dx.doi.org/10.1029/2022GL102367)
Model:CrevasseFlow + (Key physical parameters: *Q: water dischar … Key physical parameters:*Q: water discharge upstream crevasse splay;*Qcs: outflow discharge of crevasse splay;*Qabove: the water discharge above the bottom of crevasse splay; *rq: the discharge ratio of Qcs and Qabove;*hs: channel belt's super-elevation (the elevation of lowest point of channel bed);*Zcs: bottom elevation of crevasse splay;*Bcs: width of crevasse splay;*Hcs: flow depth of crevasse splay;*Vcs: flow velocity of crevasse splay;*jcs: slope of the outflow of crevasse splay;*Zcsb: bottom elevation of a crevasse splay whose flow slope is equal to the channel slope j;Key physical equations:*Zcs<=max(hs,Zcsb); *rq=(1.55-1.45*Fi)*Bcs/wc+0.16*(1-2*Fi), in which Fi is the Fraud number for flow in the trunk channel, wc is width of the trunk channel;*Hcs=(nc*Qcs/sqrt(jcs)/Bcs)^(3/5);*Vcs=Qcs/Hcs/Bcs;*dE=M*(Vcs^2-ucre^2)/ucre^2*dt, where M is M-coefficient for erosion rate for crevasse slpay, ucre is critical velocity for erosion, dt is time step;*dD=Sv*(1-Vcs^2/ucrd^2)*ws/0.6*dt, where Sv is volume sediment concentration, ucrd is critical velocity for deposition, ws is settling velocity of suspended load, dt is time step. velocity of suspended load, dt is time step.)
Model:GOLEM + (Key state variables include surface elevation, soil thickness, and discharge.)
Model:VIC + (Land Cover can subdivide each grid cell's … Land Cover can subdivide each grid cell's land cover into arbitrary number of "tiles", each corresponding to the fraction of the cell covered by that particular land cover (e.g. coniferous evergreen forest, grassland, etc.)geographic locations or configurations of land cover types are not considered; VIC lumps all patches of same cover type into 1 tileSnow ModelVIC considers snow in several forms: ground snow pack, snow in the vegetation canopy, and snow on top of lake ice. Main features:Ground snow pack is quasi 2-layer; the topmost portion of the pack is considered separately for solving energy balance at pack surfaceMeteorological Input DataCan use sub-daily met data (prcp, tair, wind) at intervals matching simulation time stepCan use daily met data (prcp, tmax, tmin, wind) for daily or sub-daily simulationsDisaggregates daily met data to sub-daily via Thornton & Running algorithm and others (computes incoming sw and lw rad, pressure, density, vp)VIC can consider spatial heterogeneity in precipitation, arising from either storm fronts/local convection or topographic heterogeneity. Here we consider the influence of storm fronts and local convective activity. This functionality is controlled by the DIST_PRCP option in the global parameter file. Main features:Can subdivide the grid cell into a time-varying wet fraction (where precipitation falls) and dry fraction (where no precipitation falls).The wet fraction depends on the intensity of the precipitation; the user can control this function.Fluxes and storages from the wet and dry fractions are averaged together (weighted by area fraction) to give grid-cell average for writing to output files.Elevation BandsVIC can consider spatial heterogeneity in precipitation, arising from either storm fronts/local convection or topographic heterogeneity. Here we consider the influence of topography, via elevation bands. This is primarily used to produce more accurate estimates of mountain snow pack. This functionality is controlled by the SNOW_BAND option in the global parameter file. Main features:Can subdivide the grid cell into arbitrary number of elevation bands, to account for variation of topography within cellWithin each band, meteorologic forcings are lapsed from grid cell average elevation to band's elevationGeographic locations or configurations of elevation bands are not considered; VIC lumps all areas of same elevation range into 1 bandFluxes and storages from the bands are averaged together (weighted by area fraction) to give grid-cell average for writing to output filesHowever, the band-specific values of some variables can be written separately in the output filesLiang et al. (1999): set QUICK_FLUX to TRUE in global parameter file; this is the default for FULL_ENERGY = TRUE and FROZEN_SOIL = FALSE.Cherkauer et al. (1999): set QUICK_FLUX to FALSE in global parameter file; this is the default for FROZEN_SOIL = TRUE.By default, the finite difference formulation is an explicit method.By default, the nodes of the finite difference formulation are spaced linearly.These apply to the case QUICK_FLUX = FALSE and FROZEN_SOIL = TRUE, i.e. the formulation of Cherkauer et al. (1999).e. the formulation of Cherkauer et al. (1999).)
Model:LOGDIST + (Law of the Wall)
Model:RCPWAVE + (Linear nearshore wave transformation numer … Linear nearshore wave transformation numerical model for estimating wave transformation over an arbitrary bathymetry constrained to have mild bottom slopes. The model is based on the numerical solution of the parabolic approximation of the velocity potential of the forward scattered wave field.ntial of the forward scattered wave field.)
Model:Coastal Dune Model + (Linearized RANS for turbulent boundary layer over smooth terrain Shear stress partitioning model (work of Raupach et al 1993) Vegetation growth parameters (timescale, vegetation height, ratio of frontal to basal area))
Model:TopoFlow-Channels-Dynamic Wave + (Main equations used by this component: ΔV … Main equations used by this component: ΔV(i,t) = Δt * ( R(i,t) Δx Δy - Q(i,t) + Σ_k Q(k,t) ) = change in water volume (m^3) (mass cons.) d = {( w^2 + 4 tan(θ) V / L)^1/2 - w } / (2 tan(θ)) = mean water depth in channel segment (m) (if θ > 0) d = V / (w * L) = mean water depth in channel segment (m) (if θ = 0) Δv(i,t) = Δt * (T_1 + T_2 + T_3 + T_4 + T_5) / ( d(i,t) * A_w )= change in mean velocity (m / s) (mom. cons.) T_1 = v(i,t) * Q(i,t) * (C - 1) = efflux term in equation for Δv T_2 = Σ_k (v(k,t) - v(i,t) * C) * Q(k,t) = influx term in equation for Δv T_3 = -v(i,t) * C * R(i,t) * Δx * Δy = "new mass" momentum term in equation for Δv T_4 = A_w * (g * d(i,t) * S(i,t)) = gravity term in equation for Δv T_5 = -A_w * (f(i,t) * v(i,t)^2) = friction term in equation for Δv Q = v * A_w = discharge of water (m^3 / s) f(i,t) = ( κ / LN ( a * d(i,t) / z_0) )^2 = friction factor (unitless) (for law of the wall) f(i,t) = g * n^2 / Rh(i,t)^1/3 = friction factor (unitless) (for Manning's equation) C = A_w / A_t = area ratio appearing in equation for Δv A_t = w_t * L = top surface area of a channel segment (m2) (L = length) w_t = w + ( 2 * d * tan(θ) ) = top width of a wetted trapezoidal cross-section (m) R_h = A_w / P_w = hydraulic radius (m) A_w = d * (w + (d * tan(θ))) = wetted cross-sectional area of a trapezoid (m2) P_w = w + (2 * d / cos(θ)) = wetted perimeter of a trapezoid (m) V_w = d^2 * ( L * tan(θ) ) + d * (L * w) = wetted volume of a trapezoidal channel (m)(Source: TopoFlow HTML Help System)nnel (m) (Source: TopoFlow HTML Help System))
Model:TopoFlow-Evaporation-Energy Balance + (Main equations used by this component: ET … Main equations used by this component: ET = (1000 * Q_et) / (ρ_water * L_v) = evaporation rate (mm / sec) Q_et = (Q_SW + Q_LW + Q_c + Q_h) = energy flux used to evaporate water (W / m^2) Q_c = K_soil * (T_soil_x - T_surf) * (100 / x)= conduction energy flux (W / m^2) (between surf. and subsurf.) Q_h = ρ_air * c_air * D_h * (T_air - T_surf) = sensible heat flux (W / m^2) D_n = u_z * κ^2 / LN((z - h_snow) / z0_air)^2 = bulk exchange coeff. (neutrally stable conditions) (m / s) D_h = D_n / (1 + (10 * Ri)), (T_air > T_surf) = bulk exchange coeff. for heat (m / s) (stable) = D_n * (1 - (10 * Ri)), (T_air < T_surf) = bulk exchange coeff. for heat (m / s) (unstable) Ri = g * z * (T_air - T_surf) / (u_z^2 (T_air + 273.15)) = Richardson's number (unitless)air + 273.15)) = Richardson's number (unitless))
Model:TopoFlow-Channels-Diffusive Wave + (Main equations used by this component: ΔV … Main equations used by this component: ΔV(i,t)= Δt * ( R(i,t) Δx Δy - Q(i,t) + Σk Q(k,t) ) = change in water volume (m^3), mass conservation d = {( w^2 + 4 tan(θ) V / L)^1/2 - w } / (2 tan(θ)) = mean water depth in channel segment (m) (if θ > 0) d = V / (w * L) = mean water depth in channel segment (m) (if θ = 0) Q = v * Aw = discharge of water (m^3 / s) v = n^(-1) * Rh^(2/3) * S^(1/2) = section-averaged velocity (m / s), Manning's formula v = ( g * Rh * S)^(1/2) * LN( a * d / z0) / κ = section-averaged velocity (m / s), Law of the Wall Rh = Aw / Pw = hydraulic radius (m) Aw = d * (w + (d * tan(θ))) = wetted cross-sectional area of a trapezoid (m^2) Pw = w + (2 * d / cos(θ)) = wetted perimeter of a trapezoid (m) Vw = d^2 * ( L * tan(θ) ) + d * (L * w) = wetted volume of a trapezoidal channel (m)(Source: TopoFlow HTML Help System)nnel (m) (Source: TopoFlow HTML Help System))
Model:TopoFlow-Evaporation-Priestley Taylor + (Main equations used by this component: ET … Main equations used by this component: ET = (1000 * Q_et) / (ρ_water * L_v) = evaporation rate (mm / sec) Q_et = α * (0.406 + (0.011 * T_air)) * (Q_SW + Q_LW - Q_c) = energy flux used to evaporate water (W / m^2) Q_c = K_soil * (T_soil_x - T_surf) * (100 / x) = conduction energy flux (W / m^2)0 / x) = conduction energy flux (W / m^2))
Model:TopoFlow-Channels-Kinematic Wave + (Main equations used by this component: ΔV … Main equations used by this component: ΔV(i,t) = Δt * ( R(i,t) Δx Δy - Q(i,t) + Σ_k Q(k,t) ) = change in water volume (m^3), mass conservation d = {( w^2 + 4 tan(θ) V / L)^1/2 - w } / (2 tan(θ)) = mean water depth in channel segment (m) (if θ > 0) d = V / (w * L) = mean water depth in channel segment (m) (if θ = 0) Q = v * A_w = discharge of water (m3 / s) v = n^-1 * R_h^2/3 * S^1/2 = section-averaged velocity (m / s), Manning's formula v = ( g * Rh * S)^1/2 * LN( a * d / z_0) / κ = section-averaged velocity (m / s), Law of the Wall R_h = A_w / P_w = hydraulic radius (m) A_w = d * (w + (d * tan(θ))) = wetted cross-sectional area of a trapezoid (m2) P_w = w + (2 * d / cos(θ)) = wetted perimeter of a trapezoid (m) V_w = d^2 * ( L * tan(θ) ) + d * (L * w) = wetted volume of a trapezoidal channel (m) = wetted volume of a trapezoidal channel (m))
Model:Marsh column model + (Many, see Mudd et al. (2009) ECSS v 82(3) 377-389)
Model:Equilibrium Calculator + (Model governing equations express the cons … Model governing equations express the conservation of sand and mud in the floodplain and in the channel. Water depth and shear stress are computed with a Chezy formulation for a composite rectangular cross section. Total ((bedload plus suspended load) sand transport capacity is computed with an Engelund and Hansen-type of bulk load relation (see Parker, 2004). The mean annual sand load is determined by averaging the sand transport capacities over the flow duration curve. Channel migration rate is computed as in Eke et al. (2014). Overbank deposition rates are computed with the approach presented in Parker et al. (1996). ReferencesEke, E., Parker, G. & Shimizu, Y. (2014). Numerical modeling of erosional and depositional bank processes in migrating river bends with self-formed width: Morphodynamics of bar push and bank pull, Journal of Geophysical Research: Earth Surface 119, 1455-1483.Parker, G. (2004). 1D sediment transport morphodynamics with applications to rivers and turbidity currents e-book available at http://hydrolab.illinois.edu/people/parkerg/morphodynamics_e-book.htm .Parker, G., Cui, Y., Imran, J. & Dietrich, W. E. (1996). Flooding in the lower Ok Tedi, Papua New Guinea due to the disposal of mine tailings and it’s amelioration, International Seminar on Recent trends of floods and their preventive measures, 20-21 June, Sapporo, Japan.r preventive measures, 20-21 June, Sapporo, Japan.)
Model:FVshock + (Momentum and continuity differential equations are solved for each layer. Closure equations are solved for bed-load discharge and entrainment/deposition.)
Model:TURBINS + (Navier-Stokes equation in Bousinessq approximations: to describe the ambient fluid's motion Transport equation(s): to describe the particle and/or salinity concentration field evolution. Reynolds number, Peclet number, particle settling velocities.)
Model:ROMS + (Navier-Stokes primitive equations. Bio-opt … Navier-Stokes primitive equations. Bio-optical, biogeochemical, and ecosystem models equations. Cohesive and non cohesive sediment equations. Several vertical turbulece equations (KPP, GLS, MY-2.5). Air-Sea interaction coupling equations (COARE). Bottom boundary layer model equations.E). Bottom boundary layer model equations.)
Model:ChesROMS + (Navier-Stokes primitive equations. Bio-opt … Navier-Stokes primitive equations. Bio-optical, biogeochemical, and ecosystem models equations. Cohesive and non cohesive sediment equations. Several vertical turbulece equations (KPP, GLS, MY-2.5). Air-Sea interaction coupling equations (COARE). Bottom boundary layer model equations.E). Bottom boundary layer model equations.)
Model:UMCESroms + (Navier-Stokes primitive equations. Bio-opt … Navier-Stokes primitive equations. Bio-optical, biogeochemical, and ecosystem models equations. Cohesive and non cohesive sediment equations. Several vertical turbulece equations (KPP, GLS, MY-2.5). Air-Sea interaction coupling equations (COARE). Bottom boundary layer model equations.E). Bottom boundary layer model equations.)
Model:CBOFS2 + (Navier-Stokes primitive equations. Bio-opt … Navier-Stokes primitive equations. Bio-optical, biogeochemical, and ecosystem models equations. Cohesive and non cohesive sediment equations. Several vertical turbulece equations (KPP, GLS, MY-2.5). Air-Sea interaction coupling equations (COARE). Bottom boundary layer model equations.E). Bottom boundary layer model equations.)
Model:GNE + (Net N & P land surface balance (from i … Net N & P land surface balance (from inputs, incl. atm. deposition) modulated with calibrated runoff relationships to estimate exports to streams; point sources calculated from socioecon. and sewage treatment information; reservoir and consumptive water withdrawal loss using physical relationships. withdrawal loss using physical relationships.)
Model:SNAC + (Newton's second law in the dynamic form is … Newton's second law in the dynamic form is damped to acquire static or quasi-static solutions. Among importance parameters are those for a constitutive model (elastic moduli, linear and non-linear viscosity, and parameters for strain-weakening plasticity) and damping parameters.kening plasticity) and damping parameters.)
Model:STVENANT + (Non-linear long wave equations by Koutitas (1988, p. 68))
Model:GeoClaw + (Nonlinear shallow water equations in conse … Nonlinear shallow water equations in conservation form are solved, with a Manning coefficient used to specify bottom friction. Coriolis terms can also be turned on. Multi-layer shallow water equations are also implemented. Equations can be solved in latitude-longitude coordinates on the sphere or in Cartesian coordinates, e.g. for limited-area or wave tank modeling. Wetting and drying algorithms handle inundation.g and drying algorithms handle inundation.)
Model:OTEQ + (Partial differential equations describing mass transport (Advection-Dispersion-Reaction equations) and algebraic equations describing chemical equilibria are coupled using the Sequential Iteration Approach)

Model:GEOtop + (Please give a look at http://geotopmodel.github.io/geotop/)

Model:HydroPy + (Please refer to the paper https://doi.org/10.5194/gmd-14-7795-2021 (Section 2.2))
Model:Compact + (Porosity, overlying load, compaction coefficient; Athy's Law)
Model:Princeton Ocean Model (POM) + (Primitive equations for momentum, heat and salt fluxes, as well as TKE equations.)
Model:Symphonie + (Primitive equations.Non hydrostatic version available. Sediment transport : cohesive (Partheniades) and non cohesive (Smith and Mac Lean). Biogeochemistry : cycle of C,N,P,Si)
Model:PIHM + (Processes include: 2-D overland flow, 2-D groundwater flow, 1-D soil moisture, 1-D channel flow, snow/melt, et, vegetation water use by NLCD,)
Model:WEPP + (Rain storm depth, storm duration, storm in … Rain storm depth, storm duration, storm intensity - driving variables; effective hydraulic conductivity - controls infiltration into soil; baseline soil erodibility parameters (interrill erodibility, rill erodibility, critical hydraulic shear stress) - control soil detachment rates; slope inputs - control amount of flow shear stress and sediment transport capacity available to detach and tranport soil/sediment; plant growth parameters - control the production of biomass that protects soil surface; residue decomposition parameters - control the rate of residue loss from soil surface; tillage operation parameters - control the amount of soil disturbance and burial of residue - both of which impact the adjusted erodiblities for a given day.the adjusted erodiblities for a given day.)
Model:FineSed3D + (Reynolds number, settling velocity, Froude number (or bulk Richardson number), critical shear stress of erosion, Stokes number)
Model:BlockLab + (River and hillslope erosion coefficients, hillslope weathering parameters; initial block size, block release/motion thresholds, block weathering rate.)
Model:SUSP + (Rouse Equation)
Model:SWAN + (SWAN contains a number of physical process … SWAN contains a number of physical processes (see Scientific/Technical documentation) that add or withdraw wave energy to or from the wave field. The processes included are: wind input, whitecapping, bottom friction, depth-induced wave breaking, obstacle transmission, nonlinear wave-wave interactions (quadruplets and triads) and wave-induced set-up. SWAN can run in several modes, indicating the level of parameterization. SWAN can operate in first-, second- and third-generation mode. The first- and second-generation modes are essentially those of Holthuijsen and De Boer (1988); first-generation with a constant Phillips "constant" of 0.0081 and second-generation with a variable Phillips "constant". An overview of the options is given in Table below.ew of the options is given in Table below.)
Model:SWMM + (SWMM conceptualizes a drainage system as a … SWMM conceptualizes a drainage system as a series of water and material flows between several major environmental compartments. These compartments and the SWMM objects they contain include:* The Atmosphere compartment, from which precipitation falls and pollutants are deposited onto the land surface compartment. SWMM uses Rain Gage objects to represent rainfall inputs to the system.* The Land Surface compartment, which is represented through one or more Subcatchment objects. It receives precipitation from the Atmospheric compartment in the form of rain or snow; it sends outflow in the form of infiltration to the Groundwater compartment and also as surface runoff and pollutant loadings to the Transport compartment. * The Groundwater compartment receives infiltration from the Land Surface compartment and transfers a portion of this inflow to the Transport compartment. This compartment is modeled using Aquifer objects. * The Transport compartment contains a network of conveyance elements (channels, pipes, pumps, and regulators) and storage/treatment units that transport water to outfalls or to treatment facilities. Inflows to this compartment can come from surface runoff, groundwater interflow, sanitary dry weather flow, or from user-defined hydrographs. The components of the Transport compartment are modeled with Node and Link objects.Not all compartments need appear in a particular SWMM model. For example, one could model just the transport compartment, using pre-defined hydrographs as inputs., using pre-defined hydrographs as inputs.)
Model:Non Local Means Filtering + (Search window radius: The distance around … Search window radius: The distance around each cell over which to evaluate the non-local mean.Similarity Window Radius: The distance around each cell in the neighbourhood over which to evaluate the mean.Degree of filtering: The weighting for the gaussian kernel controlling the strength of filtering and therefore the decay of weights as a function of distance from the centre of the kernel.of distance from the centre of the kernel.)
Model:CoastMorpho2D + (See -G Mariotti, S Murshid, 2018, A 2D Tid … See-G Mariotti, S Murshid, 2018, A 2D Tide-Averaged Model for the Long-Term Evolution of an Idealized Tidal Basin-Inlet-Delta System, Journal of Marine Science and Engineering 6 (4), 154-G Mariotti, 2020, Beyond marsh drowning: The many faces of marsh loss (and gain)Advances in Water Resources, 103710 gain) Advances in Water Resources, 103710)
Model:PHREEQC + (See 'Description of Input and Examples for PHREEQC Version 3 - A computer program for speciation, batch-reaction, one-dimensional transport, and inverse geochemical calculations'.)
Model:Rescal-snow + (See 'rescal_snow_input' in docs.)
Model:Cyclopath + (See Burgess et al. (2001), Basin Research)
Model:TUGS + (See Cui (2007a) for detail: http://dx.doi.org/10.1029/2006WR005330)
Model:ErosionDeposition + (See Davy and Lague (2009, Journal of Geophysical Research) for full model description.)
Model:Sakura + (See Kubo 2003 (doi:10.1016/j.sedgeo.2003.11.002))
Model:RASCAL + (See Larsen and Harvey, 2010, Geomorphology and Larsen and Harvey, 2010, American Naturalist (currently in press))
Model:SBEACH + (See SBEACH documentation (http://chl.erdc.usace.army.mil/chl.aspx?p=s&a=Software;31 ).)
Model:Inflow + (See Skene et al., 1997 (doi:10.1016/S0098-3004(97)00064-2))
Model:TURB + (See Slingerland et al. (1994))
Model:LITHFLEX1 + (See Slingerland et al. (1994))
Model:LITHFLEX2 + (See Slingerland et al. (1994))