porous_gas#

EQ = porous_gas {Galerkin_wt} P_GAS {Interpol_fnc} <floatlist>

Description / Usage#

This card provides information for solving a differential equation for porous gas phase pressure. Definitions of the input parameters are defined below. Note that <floatlist> has five parameters to define the constant multipliers in front of each type of term in the equation.The Galerkin weight and the interpolation function must be the same for the code to work properly. If upwinding is desired for advection dominated problems, we can set this through a Petrov-Galerkin weight function in the material file.

porous_gas

Name of the equation to be solved.

{Galerkin_wt}

Two-character value that defines the type of weighting function for this equation, where:

  • Q1-Linear

  • Q2-Quadratic

P_GAS

Name of the variable associated with this equation.

{Interpol_fnc}

Two-character value that defines the interpolation function used to represent the variable P_GAS, where:

  • Q1-Linear Continuous

  • Q2-Quadratic Continuous

<float1>

Multiplier on mass matrix term ( d ⁄dt ).

<float2>

Multiplier on advective term.

<float3>

Multiplier on boundary term ( \(\underline{n}\) • flux ).

<float4>

Multiplier on diffusion term.

<float5>

Multiplier on source term.

Note: These multipliers are intended to provide a means of activating or deactivating terms of an equation, and hence should be set to zero or one. If a multiplier is zero, the section of code that evaluates the corresponding term will be skipped.

Examples#

The following is a sample card that uses a linear continuous interpolation and weight function for the porous gas phase pressure equation and has all the term multipliers on except for the mass matrix for time derivatives:

EQ = porous_gas Q1 P_GAS Q1 0. 1. 1. 1. 1.

Technical Discussion#

No Discussion.

References#

GT-008.2: Porous Media Capabilities/Tutorial for GOMA. User Guidance for Saturated Porous Penetration Problems, August 11, 1999, P. R. Schunk

GT-009.3: GOMA’s Capabilities for Partially Saturated Flow in Porous Media, September 1, 2002, P. R. Schunk