The Reconstruction of Upwind Fluxes for Conservation Laws: Its Behavior in Dynamic and Steady State Calculations


Journal Article

The Euler equation of compressible flows is solved by the finite volume method, where high order accuracy is achieved by the reconstruction of each component of upwind fluxes of a flux splitting using the biased averaging procedure. Compared to the solution reconstruction in Godunov-type methods, its implementation is simple and easy, and the computational complexity is relatively low. This approach is parameter-free and requires neither a Riemann solver nor field-by-field decomposition. The numerical results from both dynamic and steady state calculations demonstrate the accuracy and robustness of this approach. Some techniques for the acceleration of the convergence to the steady state are discussed, including multigrid and multistage Runge-Kutta time methods. © 1998 Academic Press.

Full Text

Duke Authors

Cited Authors

  • Choi, H; Liu, JG

Published Date

  • August 10, 1998

Published In

Volume / Issue

  • 144 / 2

Start / End Page

  • 237 - 256

International Standard Serial Number (ISSN)

  • 0021-9991

Digital Object Identifier (DOI)

  • 10.1006/jcph.1998.5970

Citation Source

  • Scopus