Author
G. D. Raithby
Other affiliations:Â Cornell University
Bio: G. D. Raithby is an academic researcher from University of Waterloo. The author has contributed to research in topics: Heat transfer & Natural convection. The author has an hindex of 36, co-authored 90 publications receiving 9466 citations. Previous affiliations of G. D. Raithby include Cornell University.
Papers published on a yearly basis
Papers
More filters
TL;DR: The performances of SIMPLE, SIMPLER, and SIMPLEC are compared for two recirculating flow problems and several modifications to the method are shown which both simplify its implementation and reduce solution costs.
Abstract: 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.
3,276Â citations
TL;DR: A new finite-volume method is proposed to predict radiant heat transfer in enclosures with participating media and test results indicate that good accuracy is obtained on coarse computational grids, and that solution errors diminish rapidly as the grid is refined.
Abstract: 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.
824Â citations
TL;DR: 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 as mentioned in this paper, and it has been used to predict radiant heat transfer on the same mesh employed to solve the equations of fluid motion.
Abstract: 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.
594Â citations
516Â citations
TL;DR: 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.
Abstract: 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
429Â citations
Cited by
More filters
TL;DR: In this article, a new finite element formulation for convection dominated flows is developed, based on the streamline upwind concept, which provides an accurate multidimensional generalization of optimal one-dimensional upwind schemes.
5,157Â citations
TL;DR: In this paper, a convective modeling procedure is presented which avoids the stability problems of central differencing while remaining free of the inaccuracies of numerical diffusion associated with upstream differencings.
4,190Â citations
TL;DR: In this article, a non-iterative method for handling the coupling of the implicitly discretised time-dependent fluid flow equations is described, based on the use of pressure and velocity as dependent variables and is hence applicable to both the compressible and incompressible versions of the transport equations.
4,019Â citations
TL;DR: The performances of SIMPLE, SIMPLER, and SIMPLEC are compared for two recirculating flow problems and several modifications to the method are shown which both simplify its implementation and reduce solution costs.
Abstract: 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.
3,276Â citations