utvdschememodule::utvdschemetype Interface Reference

Total Variation Diminishing (TVD) interpolation scheme. More...

Inheritance diagram for utvdschememodule::utvdschemetype:

Collaboration diagram for utvdschememodule::utvdschemetype:

Private Member Functions
procedure	compute
procedure, private	find_local_extrema
procedure, private	limiter
type(utvdschemetype) function	constructor (dis, fmi, gradient)

Private Attributes
class(disbasetype), pointer	dis
type(tspfmitype), pointer	fmi
class(igradienttype), pointer	gradient
integer(i4b)	limiter_id = 2

Detailed Description

This class implements a high-resolution, TVD interpolation scheme for use in transport modeling. It extends a generic interpolation scheme interface and supports multiple TVD limiters (van Leer, Koren, Superbee, van Albada, etc.) for controlling numerical diffusion and oscillations. The default limiter is van Leer, but others can be selected by changing the limiter_id member.

The scheme uses a combination of low-order upwind and high-order limited terms to compute face concentrations. The high-order term is constructed using a gradient-based virtual node value, following the approach described by Darwish et al. An additional TVD clamp is applied to the virtual node value to enforce TVD compliance, especially on grids where the original method may not guarantee monotonicity.

• Supports both structured and unstructured grids via polymorphic discretization and gradient objects.
• The limiter can be selected via the limiter_id member (default is van Leer).
• The method find_local_extrema finds the minimum and maximum values among the current cell and its neighbors, which is used to enforce the TVD condition.
• The compute method calculates the face coefficients for the transport equation.

Definition at line 35 of file UTVDScheme.f90.

Member Function/Subroutine Documentation

compute()

procedure utvdschememodule::utvdschemetype::compute

private

Definition at line 42 of file UTVDScheme.f90.

constructor()

type(utvdschemetype) function utvdschememodule::utvdschemetype::constructor ( class(disbasetype), intent(in), pointer  dis, type(tspfmitype), intent(in), pointer  fmi, class(igradienttype), intent(in), allocatable, target  gradient  )

private

Definition at line 53 of file UTVDScheme.f90.

    ! -- return
    type(UTVDSchemeType) :: interpolation_scheme
    ! --dummy
    class(DisBaseType), pointer, intent(in) :: dis
    type(TspFmiType), pointer, intent(in) :: fmi
    class(IGradientType), allocatable, target, intent(in) :: gradient
 
    interpolation_scheme%dis => dis
    interpolation_scheme%fmi => fmi
    interpolation_scheme%gradient => gradient
 

find_local_extrema()

procedure, private utvdschememodule::utvdschemetype::find_local_extrema

private

Definition at line 44 of file UTVDScheme.f90.

limiter()

procedure, private utvdschememodule::utvdschemetype::limiter

private

Definition at line 45 of file UTVDScheme.f90.

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Member Data Documentation

dis

class(disbasetype), pointer utvdschememodule::utvdschemetype::dis

private

Definition at line 37 of file UTVDScheme.f90.

    class(DisBaseType), pointer :: dis

fmi

type(tspfmitype), pointer utvdschememodule::utvdschemetype::fmi

private

Definition at line 38 of file UTVDScheme.f90.

    type(TspFmiType), pointer :: fmi

gradient

class(igradienttype), pointer utvdschememodule::utvdschemetype::gradient

private

Definition at line 39 of file UTVDScheme.f90.

    class(IGradientType), pointer :: gradient

limiter_id

integer(i4b) utvdschememodule::utvdschemetype::limiter_id = 2

private

Definition at line 40 of file UTVDScheme.f90.

    integer(I4B) :: limiter_id = 2 ! default to van Leer limiter

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The documentation for this interface was generated from the following file:

• /home/runner/work/modflow6/modflow6/src/Model/TransportModel/InterpolationScheme/UTVDScheme.f90