static void _MDDischRouteMuskingumCoeff (int itemID) {
// Input
float yMean; // Average depth at mean discharge [m]
float wMean; // River width at mean discharge [m]
float vMean; // Mean velocity
float beta; // Riverbed shape exponent []
float slope; // Riverbed slope [m/km]
// Output
float C0; // Muskingum C0 coefficient (current inflow)
float C1; // Muskingum C1 coefficient (previous inflow)
float C2; // MUskingum C2 coefficient (previous outflow)
// Local
float xi; // Flood-wave/flow velocity ratio
float C; // Cell Courant number;
float D; // Cell Reynolds number;
float dt; // time step length [s]
float dL; // Cell length [m]
dL = MFModelGetLength (itemID);
slope = MFVarGetFloat (_MDInRiverbedSlopeID, itemID, 0.0) / 1000.0;
yMean = MFVarGetFloat (_MDInRiverbedAvgDepthMeanID, itemID, 0.0);
wMean = MFVarGetFloat (_MDInRiverbedWidthMeanID, itemID, 0.0);
vMean = MFVarGetFloat (_MDInRiverbedVelocityMeanID, itemID, 0.0);
beta = MFVarGetFloat (_MDInRiverbedShapeExponentID, itemID, 0.0);
if (CMmathEqualValues (vMean, 0.0)) {
MFVarSetFloat (_MDOutMuskingumC0ID, itemID, 0.0);
MFVarSetFloat (_MDOutMuskingumC1ID, itemID, 0.0);
MFVarSetFloat (_MDOutMuskingumC2ID, itemID, 0.0);
MFVarSetFloat (_MDOutCourantID, itemID, 0.0);
return;
}
if (CMmathEqualValues (dL, 0.0) ||
CMmathEqualValues (slope, 0.0) ||
CMmathEqualValues (yMean, 0.0) ||
CMmathEqualValues (wMean, 0.0) ||
(beta < 0.0)) {
// Falling back to flow-accumulation
MFVarSetFloat (_MDOutMuskingumC0ID, itemID, 1.0);
MFVarSetFloat (_MDOutMuskingumC1ID, itemID, 0.0);
MFVarSetFloat (_MDOutMuskingumC2ID, itemID, 0.0);
MFVarSetFloat (_MDOutCourantID, itemID, 0.0);
return;
}
dt = MFModelGet_dt ();
xi = 1 + beta * (2.0 / 3.0) / (beta + 1);
C = xi * vMean * dt / dL;
D = yMean / (dL * slope * xi);
C0 = (-1 + C + D) / (1 + C + D);
C1 = ( 1 + C - D) / (1 + C + D);
C2 = ( 1 - C + D) / (1 + C + D);
// if ((C0 < 0.0) || (C1 < 0.0) || (C2 < 0.0)) { C0 = 1.0; C1 = 0; C2 = 0; } // According to Pounce C1 and C2 can be negative
MFVarSetFloat (_MDOutMuskingumC0ID, itemID, C0);
MFVarSetFloat (_MDOutMuskingumC1ID, itemID, C1);
MFVarSetFloat (_MDOutMuskingumC2ID, itemID, C2);
MFVarSetFloat (_MDOutCourantID, itemID, C);
}
static void _MDRunoffVolume (int itemID) {
// Input
float runoff;
runoff = MFVarGetFloat (_MDInRunoffID, itemID, 0.0) * MFModelGetArea (itemID) / (MFModelGet_dt () * 1000.0);
// if((itemID == 25014) && (runoff * 86400 < -0.000009)) printf("############ runoff = %f\n", runoff * 86400); //runoff = 0.0; //RJS 071511
MFVarSetFloat (_MDOutRunoffVolumeID, itemID, runoff);
}
static void _MDReservoirDW (int itemID) {
// Input
float discharge; // Current discharge [m3/s]
float meanDischarge; // Long-term mean annual discharge [m3/s]
float resCapacity; // Reservoir capacity [km3]
// Output
float resStorage; // Reservoir storage [km3]
float resStorageChg; // Reservoir storage change [km3/dt]
float resRelease; // Reservoir release [m3/s]
// local
float prevResStorage; // Reservoir storage from the previous time step [km3]
float dt; // Time step length [s]
float balance; // water balance [m3/s]
// Parameters
float drySeasonPct = 0.60; // RJS 071511
float wetSeasonPct = 0.16; // RJS 071511
float year = 0; // RJS 082311
discharge = MFVarGetFloat (_MDInDischargeID, itemID, 0.0);
meanDischarge = MFVarGetFloat (_MDInDischMeanID, itemID, discharge);
year = MFDateGetCurrentYear();
if ((resCapacity = MFVarGetFloat (_MDInResCapacityID, itemID, 0.0)) <= 0.0) {
MFVarSetFloat (_MDOutResStorageID, itemID, 0.0);
MFVarSetFloat (_MDOutResStorageChgID, itemID, 0.0);
MFVarSetFloat (_MDOutResReleaseID, itemID, discharge);
return;
}
dt = MFModelGet_dt ();
prevResStorage = MFVarGetFloat(_MDOutResStorageID, itemID, 0.0);
resRelease = discharge > meanDischarge ? wetSeasonPct * discharge : drySeasonPct * discharge + (meanDischarge - discharge);
resStorage = prevResStorage + (discharge - resRelease) * 86400.0 / 1e9;
if (resStorage > resCapacity) {
resRelease = discharge * dt / 1e9 + prevResStorage - resCapacity;
resRelease = resRelease * 1e9 / dt;
resStorage = resCapacity;
}
else if (resStorage < 0.0) {
resRelease = prevResStorage + discharge * dt / 1e9;
resRelease = resRelease * 1e9 / dt;
resStorage=0;
}
resStorageChg = resStorage - prevResStorage;
balance = discharge - resRelease - (resStorageChg / 86400 * 1e9); // water balance
MFVarSetFloat (_MDOutResStorageID, itemID, resStorage);
MFVarSetFloat (_MDOutResStorageChgID, itemID, resStorageChg);
}
static void _MDReservoir (int itemID) {
// Input
float discharge; // Current discharge [m3/s]
float meanDischarge; // Long-term mean annual discharge [m3/s]
float resCapacity; // Reservoir capacity [km3]
// Output
float resStorage; // Reservoir storage [km3]
float resStorageChg; // Reservoir storage change [km3/dt]
float resRelease; // Reservoir release [m3/s]
// local
float prevResStorage; // Reservoir storage from the previous time step [km3]
float dt; // Time step length [s]
float beta; // Residence time [a]
// wet { -0.19 B + 0.88 Q_t } & {Q_t > Q_m }
// dry {0.47 B + 1.12 Q_t } & {Q_t \le Q_m }
discharge = MFVarGetFloat (_MDInDischargeID, itemID, 0.0);
meanDischarge = MFVarGetFloat (_MDInDischMeanID, itemID, discharge);
if ((resCapacity = MFVarGetFloat (_MDInResCapacityID, itemID, 0.0)) <= 0.0) {
MFVarSetFloat (_MDOutResStorageID, itemID, 0.0);
MFVarSetFloat (_MDOutResStorageChgID, itemID, 0.0);
MFVarSetFloat (_MDOutResReleaseID, itemID, discharge);
return;
}
beta = resCapacity /(meanDischarge * 3600 * 24 * 365/1e9);
dt = MFModelGet_dt ();
prevResStorage = MFVarGetFloat(_MDOutResStorageID, itemID, 0.0);
resRelease = discharge > meanDischarge ?
- 0.19 * beta + 0.88 * discharge :
0.47 * beta + 1.12 * discharge;
resStorage = prevResStorage + (discharge - resRelease) * 86400.0 / 1e9;
if (resStorage > resCapacity) {
resRelease = discharge * dt / 1e9 + prevResStorage - resCapacity;
resRelease = resRelease * 1e9 / dt;
resStorage = resCapacity;
}
else if (resStorage < 0.0) {
resRelease = prevResStorage + discharge * dt / 1e9;
resRelease = resRelease * 1e9 / dt;
resStorage=0;
}
resStorageChg = resStorage - prevResStorage;
MFVarSetFloat (_MDOutResStorageID, itemID, resStorage);
MFVarSetFloat (_MDOutResStorageChgID, itemID, resStorageChg);
MFVarSetFloat (_MDOutResReleaseID, itemID, resRelease);
}
static void _MDSpecCond (int itemID) {
float stormflowVol = 0.0;
float baseflowVol = 0.0;
float runoffpoolreleaseVol = 0.0;
float discharge = 0.0;
float waterStorage = 0.0;
// New Variables //
float Developed = 0.0;
float preFlux_SC = 0.0;
float postFlux_SC = 0.0;
float storeWater_SC = 0.0;
float postStoreWater_SC = 0.0;
float SCTotalIn = 0.0;
float postConc_SC = 0.0;
float massBalance_SC = 0.0;
float localLoad_SC = 0.0;
float baseflowConc_SC = 0.0;
float stormflowConc_SC = 0.0;
float surfflowConc_SC = 0.0;
float clean_intrcp = 0.0;
float airTemperature = 0.0;
baseflowVol = MFVarGetFloat (_MDInBaseFlowID, itemID,0.0) * MFModelGetArea (itemID) / (MFModelGet_dt () * 1000.0); // TODO: Either need to define BaseFlowVolumeDef or calculate internally here.
stormflowVol = MFVarGetFloat (_MDInStormRunoffTotalID, itemID,0.0) * MFModelGetArea (itemID) / (MFModelGet_dt () * 1000.0);
runoffpoolreleaseVol = MFVarGetFloat (_MDInRunoffPoolReleaseID, itemID,0.0) * MFModelGetArea (itemID) / (MFModelGet_dt () * 1000.0);
discharge = MFVarGetFloat (_MDInDischargeID, itemID, 0.0); // m3/sec, discharge leaving the grid cell, after routing!
waterStorage = MFVarGetFloat (_MDInRiverStorageID, itemID, 0.0); // m3/sec, storage rate remaining in grid cell at end of timestep - routed to retention
airTemperature = MFVarGetFloat (_MDInAirTemperatureID, itemID, 0.0); // degrees C
// New Variables //
Developed = MFVarGetFloat (_MDInSubFractionID, itemID, 0.0); // proportion developed land
// DEFINE IONIC CONTENT: ic = m3*(uS/cm)
// Assumes that ionic strength behaves linearly and conservatively. Strictly this is only valid when
// ionic strength is controlled by a few conservative ions. Therefore, this is valid for salt impacted
// streams; however, this breaks down at low ionic strength waters. Therefore - this deep in the chloride analysis
// we are operating with the understanding that we are only really looking at chloride impacts - not chloride itself. - SZ 6/12/2014
preFlux_SC = MFVarGetFloat (_MDOutFlux_SCID, itemID, 0.0); // ic/day
storeWater_SC = MFVarGetFloat (_MDOutStoreWater_SCID, itemID, 0.0); // ic/day
/// BASEFLOW LOADING OF SPECIFIC CONDUCTANCE ///
/// attributed to the groundwater and surface runoff pools - impervious runof is attributed with clean water
/// [email protected] for details on loading estimation ///
//baseflowConc_SC = 25.94 + 13.32 * (Developed); // Baseflow_SC relation (0.9 Quantile based) to Developed area. Developed should already be in PER
clean_intrcp = 21.72;//25.94;
baseflowConc_SC = clean_intrcp + 9.602 * (Developed); // Baseflow SC relation (regression to zero storm flow) to Devloped area.
// Predicting dilution rate based on AWC and Ksat does not help time-series predictions. Though there is an apparent dependence on these factors in the lovotecs data.
surfflowConc_SC = MDMaximum(0.64 * baseflowConc_SC,clean_intrcp); // 0.8244
// Average fraction of baseflow SC exhibited during storm events (at daily flow exceedance of 1% P1)
stormflowConc_SC = (airTemperature < 2.0) ? 15.0*Developed/100.*baseflowConc_SC : MDMaximum(0.20 * baseflowConc_SC,0.8*clean_intrcp); // Winter-time salting.
// Calculate input loadings
localLoad_SC = (baseflowConc_SC * baseflowVol + surfflowConc_SC * runoffpoolreleaseVol + stormflowVol*stormflowConc_SC ) * 86400 ; // ic/day
SCTotalIn = localLoad_SC + preFlux_SC + storeWater_SC; // ic/day
if (discharge > 0.0000001) {
// Calculate pre-tranformation concentration - for cells with accumulated discharge
postConc_SC = SCTotalIn / (discharge * 86400.); // uS/cm
} else {
// Force concentrations to local values for minimal accumulation / dessicated cells
postConc_SC = baseflowConc_SC; // Force negligible discharge to the baseflow concentration
}
//Calculates the fluxes/storage for the mixing (appropriate for speccond) case
postFlux_SC = (discharge * MDConst_m3PerSecTOm3PerDay) * postConc_SC ; // ic/day
postStoreWater_SC = (waterStorage ) * postConc_SC ; // ic/day
// Calculates the mass balances
massBalance_SC = (SCTotalIn - (postFlux_SC + postStoreWater_SC )) / SCTotalIn;
// Print mass balance errors
if (MFDateGetCurrentYear() > 0){
if ( (massBalance_SC > 0.001)) {
printf("itemID = %d, %d-%d-%d, MB_SC = %f\n",itemID, MFDateGetCurrentYear(), MFDateGetCurrentMonth(), MFDateGetCurrentDay(), massBalance_SC);
printf("\tTotalIn: %f, Local: %f , UpFlux: %f, InStore: %f\n",SCTotalIn,localLoad_SC,preFlux_SC,storeWater_SC);
printf("\tDownFlux: %f, discharge; %f, OutStore: %f , storage: %f\n",postFlux_SC,discharge, postStoreWater_SC,waterStorage);
}
// Debug prints
//if ((itemID == 8310)) {
//printf("itemID = %d, order %f, Store_SC %f, Store %f Store2 %f StoreDelta %f StorePrev %f StoreSCconc %f \n ",itemID, order, storeWater_SC, waterStorage*86400.,(discharge - dischargePre)*86400.,waterStorageChange*86400.,waterStoragePrev, storeWater_SC / waterStoragePrev ) ;
//}
//if (postConc_SC < 21.70){
//printf("itemID = %d, order %f, Store_SC %f, Store %f Store2 %f StoreDelta %f StorePrev %f StoreSCconc %f \n ",itemID, order, storeWater_SC, waterStorage*86400.,(discharge - dischargePre)*86400.,waterStorageChange*86400.,waterStoragePrev, storeWater_SC / waterStoragePrev ) ;
// printf("itemID %d ro %f bf %f srf %f str %f bfSC %f srfSC %f strSC %f \n",itemID,runoffVol,baseflowVol,runoffpoolreleaseVol,stormflowVol,baseflowConc_SC,stormflowConc_SC,clean_intrcp);
//}
}
// Set Output
MFVarSetFloat (_MDOutFlux_SCID, itemID, postFlux_SC);
MFVarSetFloat (_MDOutLocalLoadSCID, itemID, localLoad_SC);
MFVarSetFloat (_MDOutPostConc_SCID, itemID, postConc_SC);
MFVarSetFloat (_MDOutStoreWater_SCID, itemID, postStoreWater_SC);
}