The spatial discretization of each term in a given equation is carried out in the TRUST platform by whjat 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 the platform TRUST, all operators derive from the base class Operateur_base. Click here to see the Doxygen documentation of this class.

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 C++ alias Negligeable in the concevtion and/or diffusion bloc.

Finite Volume Difference (VDF) Schemes

• Upwind scheme

  The C++ alias is Amont. This is a first order upwind scheme.

• Centered scheme

  The C++ aliases are either Centre or Centre4. They correspond respectively to a second and fourth order cetered schemes.

• QUICK scheme

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

Finite Element Volume (VEF) Schemes

• Upwind scheme

  The C++ alias is Amont. This is a first order upwind scheme.

• Centered scheme

  The C++ aliases are either Centre or KCentre. This is a second order cetered scheme.

• QUICK scheme

  The C++ alias is KQuick. This is the third order Quadratic Upstream Interpolation for Convective Kinematics (Quick) scheme.

• EF-Stab scheme

  The C++ alias is 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

  The C++ alias is Muscl. This is the second order Monotonic Upstream-centered Scheme for Conservation Laws (MUSCL) scheme.

PolyMAC-series Schemes

• Upwind scheme

  The C++ alias is Amont. This is a first order upwind scheme.

• Centered scheme

  The C++ alias is Centre. This is a second order cetered scheme.

• EF-Stab scheme

  The C++ alias is 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.