Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

http://dns2.asia.edu.tw/~ysho/YSHO-English/2000%20Engineering/PDF/Com%20Met%20App%20Mec%20Eng19,%2059.pdf

A stable and accurate convective modelling procedure based on quadratic upstream interpolation

Solution of the implicitly discretised reacting flow equations by operator-splitting

Variations of the SIMPLE method of Patankar and Spalding have been widely used over the past decade to obtain numerical solutions to problems involving incompressible flows. The present paper shows several modifications to the method which both simplify its implementation and reduce solution costs. The performances of SIMPLE, SIMPLER, and SIMPLEC (the present method) are compared for two recirculating flow problems. The paper is addressed to readers who already have experience with SIMPLE or its variants.

Enhancements of the simple method for predicting incompressible fluid flows

Petroleum Reservoir Simulation

A new finite-volume method is proposed to predict radiant heat transfer in enclosures with participating media. The method can conceptually be applied with the same nonorthogonal computational grids used to compute fluid flow and convective heat transfer. A fairly general version of the method is derived, and details are illustrated by applying it to several simple benchmark problems. Test results indicate that good accuracy is obtained on coarse computational grids, and that solution errors diminish rapidly as the grid is refined.

A Finite-Volume Method for Predicting a Radiant Heat Transfer in Enclosures With Participating Media

The finite-volume method has been shown to effectively predict radiant exchange in geometrically simple enclosures where the medium is gray, absorbing, emitting, and scattering. Cartesian and circular cylindrical meshes have always been used. The present article shows that the method applies equally well to geometrically complex enclosures where nonorthogonal, boundary-fitted meshes are used. This development permits radiant heat transfer to be computed on the same mesh employed to solve the equations of fluid motion.

Computation of radiant heat transfer on a nonorthogonal mesh using the finite-volume method

Free convective heat transfer across inclined air layers

The solution of large sets of equations is required when discrete methods are used to solve fluid flow and heat transfer problems The cost of the solution often becomes prohibitive when the coefficients of the algebraic equations become strongly anisotropic or when the number of equations in the set becomes large The present paper demonstrates how the additive correction method of Settari and Aziz can be used and extended to improve the convergence rate for two- and three-dimensional problems when the coefficients are anisotropic Such methods are interpreted as simple multigrid methods With this as the basis a new general multigrid method is developed that has attractive properties The efficiency of the new method is compared to that of a conventional multigrid method, and its performance is demonstrated on other problems

G. D. Raithby

Papers

Enhancements of the simple method for predicting incompressible fluid flows

A Finite-Volume Method for Predicting a Radiant Heat Transfer in Enclosures With Participating Media

Computation of radiant heat transfer on a nonorthogonal mesh using the finite-volume method

Free convective heat transfer across inclined air layers

A multigrid method based on the additive correction strategy