𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An Efficient Multigrid Algorithm for Compressible Reactive Flows

✍ Scribed by Scott G. Sheffer; Luigi Martinelli; Antony Jameson


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
737 KB
Volume
144
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

✦ Synopsis


This paper presents a parallel multigrid method for computing inviscid and viscous high speed steady-state reactive flows. The governing equations for reactive flow are solved using an explicit multigrid algorithm while treating the chemical source terms in a point implicit manner. The CUSP (Convective Upwind and Split Pressure) scheme is used to provide necessary artificial dissipation without contaminating the solution. This explicit method yields excellent parallel speedups, thus enabling the calculation of reactive flows with detailed chemical kinetics including large numbers of species and reactions. Results indicate good multigrid speedups and adequate resolution of the reaction zone in both inviscid axisymmetric and viscous two-dimensional hydrogen/oxygen and hydrogen/air test cases.


πŸ“œ SIMILAR VOLUMES


An efficient algorithm for compressible
✍ P. Glaister πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 592 KB

An efficient algorithm is presented for the solution of the Euler equations of gas dynamics with a general convex equation of state. The scheme is based on solving linearized Riemann problems approximately, and in more than one dimension incorporates operator splitting. In particular, only one funct

An Implicit Multigrid Algorithm for Comp
✍ Jack R. Edwards πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 246 KB

are needed before solutions of large-scale chemically reacting, viscous flowfields can be considered routine enough to be used An implicit algorithm for computing viscous flows in chemical nonequilibrium is presented. Emphasis is placed on the numerical in other than a research environment. efficie

An Efficient Shock-Capturing Algorithm f
✍ Keh-Ming Shyue πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 465 KB

A simple shock-capturing approach to multicomponent flow problems is developed for the compressible Euler equations with a stiffened gas equation of state in multiple space dimensions. The algorithm uses a quasi-conservative formulation of the equations that is derived to ensure the correct fluid mi

An MPDATA-based solver for compressible
✍ Piotr K. Smolarkiewicz; Joanna Szmelter πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 330 KB

## Abstract The theory of the high‐resolution multidimensional positive‐definite advection transport algorithm (MPDATA) has been extensively developed since its invention in the early eighties. Many successful applications for geophysical flows followed. This paper introduces the original developme