Time scheme example

Table of Contents

• Introduction
• Case set-up
  • Boundary conditions
  • Mesh
• Results
  • Euler results
  • backward results
  • Crank-Nicolson results

• Solver: scalarTransportFoam
• Path: $FOAM_TUTORIALS/verificationAndValidation/schemes/timeExample
• Repository link: timeExample.

Introduction

The test case comprises a 2-D box section, across which a uniform flow is applied. A passive scalar is introduced in a circular region at the start time, and transported across the domain. By looking at the profile of the scalar across the section, we can determine the characteristics of our time scheme selection.

Case set-up

The impact of the choice of time scheme is assessed by varying the ddt scheme entry of the fvSchemes file:

ddtSchemes
{
    ddt(phi)        <time scheme>
}

Boundary conditions

Velocity boundary conditions

Patch	Type	Value
left	fixedValue	(1,1,0)
right	zeroGradient
top	zeroGradient
bottom	fixedValue	(1,1,0)
frontAndBack	empty

Scalar boundary conditions

Patch	Type	Value
left	fixedValue	0
right	zeroGradient
top	zeroGradient
bottom	fixedValue	0
frontAndBack	empty

Initial field

Mesh

Results

Euler results

backward results

Crank-Nicolson results

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