Spatial schemes#

The spatial discretization of each term in a given equation is carried out in the TRUST platform by what we call the operators (operators for convective terms, diffusion, gradient, divergence, …) It is important to keep in mind that all these operators are dependent of the employed discretization; in particular on the variables localisation.

In what follows, the available convective operator schemes are summarized.

Attention: The diffusion term is more or less a Laplacien operator and is thus always discretized by a centered difference scheme.

Attention: TRUST allows the user to neglect the operator contribution. This can be done by using the keyword negligeable in the concevtion and/or diffusion block.

Finite Volume Difference (VDF) Schemes#

Scheme

Keyword

Description

Upwind scheme

Amont

Corresponds to first order upwind scheme.

Centered scheme

Centre or Centre4

They correspond respectively to a second and fourth order centered schemes.

QUICK scheme

Quick

This is the third order Quadratic Upstream Interpolation for Convective Kinematics (Quick) scheme.

Finite Element Volume (VEF) Schemes#

Scheme

Keyword

Description

Upwind scheme

Amont

Corresponds to first order upwind scheme.

Centered scheme

Centre or KCentre

Corresponds to second order centered scheme.

QUICK scheme

KQuick

This is the third order Quadratic Upstream Interpolation for Convective Kinematics (Quick) scheme.

EF-Stab scheme

EF_Stab

This scheme is an upwind/centered mixed schemes. The behavior is controlled by a parameter, alpha, where the scheme behaves as a pure upwind with alpha = 1 and centered with alpha = 0.

MUSCL scheme

Muscl

This is the second order Monotonic Upstream-centered Scheme for Conservation Laws (MUSCL) scheme.

PolyMAC-series Schemes#

Scheme

Keyword

Description

Upwind scheme

Amont

Corresponds to first order upwind scheme.

Centered scheme

Centre

Corresponds to second order centered scheme.

EF-Stab scheme

EF_Stab

This scheme is an upwind/centered mixed schemes. The behavior is controlled by a parameter, alpha, where the scheme behaves as a pure upwind with alpha = 1 and centered with alpha = 0.