hydrobricks
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SolverImplicitEuler Class Reference

#include <SolverImplicitEuler.h>

Inheritance diagram for SolverImplicitEuler:
SolverSequential Solver

Protected Member Functions

void ComputeBrickRates (Brick *brick, double content, double inflow, double timeStepInDays, int iRateStart) override
 
- Protected Member Functions inherited from SolverSequential

Additional Inherited Members

- Public Member Functions inherited from SolverSequential
void InitializeContainers () override
 
bool Solve (double timeStepInDays) final
 
- Public Member Functions inherited from Solver
void Connect (Processor *processor)
 
- Static Public Member Functions inherited from Solver
static std::unique_ptr< SolverFactory (const SolverSettings &solverSettings)
 
- Static Protected Member Functions inherited from SolverSequential
static double TotalRateAt (Brick *brick, double *contentDelta, double offset)
 
static void StoreRatesAtCurrentContent (Brick *brick, vecDouble &rates)
 
- Protected Attributes inherited from SolverSequential
axd _rates
 
- Protected Attributes inherited from Solver
Processor_processor
 

Detailed Description

Sequential implicit (backward) Euler solver.

Each brick is advanced by solving the implicit equation

S(t+h) = S(t) + h (I - Q(S(t+h)))

where Q(S) is the total outflow rate of the brick's processes evaluated at the end-of-step content. The scalar equation is solved by bisection, which is robust because Q is non-decreasing in S. All processes (including non-linear ones such as ET) are evaluated at the end-of-step state, making the scheme unconditionally stable: fast-reacting or strongly non-linear reservoirs cannot destabilize it, at first-order accuracy.

Member Function Documentation

◆ ComputeBrickRates()

void SolverImplicitEuler::ComputeBrickRates ( Brick * brick,
double content,
double inflow,
double timeStepInDays,
int iRateStart )
overrideprotectedvirtual

Compute the average outflow rates of the brick over the time step and store them in the _rates slice starting at iRateStart (one value per process connection, in process declaration order).

Parameters
brickThe brick to solve.
contentStart-of-step content [mm], including instantaneous deposits.
inflowInflows as a constant rate over the step [mm/d].
timeStepInDaysThe time step in days.
iRateStartIndex of the brick's first connection in _rates.

Implements SolverSequential.


The documentation for this class was generated from the following files: