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Hafsia July 31, 2000 10:00

Numerical schemes in PHOENICS code
The Non linear convection and Crank Nickolson schemes, implemented in the PHOENICS code, are activated by source term associated to a transport variable other than the velocity components.

How the discretized momentum equations are modified by this activation procedure ?

Thank you.

Hydraulic and Environemental Modeling Laboratory National Engineering School of Tunisia

Mike Malin July 31, 2000 11:45

Re: Numerical schemes in PHOENICS code
The higher-order numerical schemes embodied in PHOENICS are fully described in:

The document includes a description of the finite-volume analogues of the convection terms along with their implementation in the PHOENICS GX routines.

Mike Malin

clifford bradford September 11, 2000 19:16

Re: Numerical schemes in PHOENICS code
is phoenics a coupled or uncoupled solver?

Mike Malin September 12, 2000 04:26

Re: Numerical schemes in PHOENICS code
I am not sure what you precisely mean, but I presume that you are referring to the velocity-pressure coupling in the numerical solution procedure. The default in PHOENICS is to use uncoupling, but for single-phase flows an option is now available to carry out the solution with a coupled solver.

clifford bradford September 12, 2000 15:28

Re: Numerical schemes in PHOENICS code
What I mean is it a pressure based ie uncoupled (SIMPLE PISO etc) or is it a time iterative scheme ie coupled (Crank-nicholson, runge-kutta etc). also what spatial differencing methods are employed

Mike Malin September 13, 2000 04:45

Re: Numerical schemes in PHOENICS code
The default is to use uncoupled velocity-pressure coupling, i.e. to use segregated continuity and momentum equations and to solve in an iterative manner by means of the SIMPLEST algorithm, which is a variant of the pioneering SIMPLE method of Patankar and Spalding. Time-marching to a steady-state by use of SIMPLEST is permitted as an alternative to repeated sweeps of the solution domain.

For single-phase flows, an option exists to solve the continuity and momentum equations simultaneously by means of an algebraic nulti-grid solver.

Specifically, PHOENICS 2.2 and later releases provide for 5 alternative linear schemes, and 12 alternative non-linear schemes. The linear schemes are based on the Kappa formulation, and comprise CDS, QUICK, the cubic upwind scheme (CUS), the linear upwind scheme (LUS) and Fromm's scheme. The non-linear schemes extend the Kappa formulation so as to employ a flux limiter to secure boundedness at the expense of reduced accuracy. The non-linear schemes currently available are: SMART, H-QUICK, UMIST, Koren, Superbee, Minmod, OSPRE, van Albada, MUSCL, CHARM, H-CUS and van-Leer harmonic. All these schemes are documented in the reference cited in my message of 31/07/00.

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