A Kinetic theory-based wave / particle flux-splitting scheme for the euler equations

K. E. Acheson, R. K. Agarwal

Research output: Contribution to conferencePaperpeer-review


A new upwind scheme, designated the Kinetic Wave / Particle Split (KWPS) scheme, is developed by combining the strengths of two existing schemes to create a new highly efficient and accurate algorithm. Similar to the Kinetic Flux Vector Split (KFVS) scheme, the KWPS scheme is derived from the Boltzmann equation of kinetic theory built on the knowledge that the discretized Euler equations are obtained as moments of the discretized Boltzmann equation when the local velocity distribution is Maxwellian. However, before taking moments in the KWPS formulation, the molecular velocity term is split into convective and thermal velocity components as is done in the Wave / Particle Split (WPS) approach. The resulting KWPS algorithm provides the same accuracy as the baseline KFVS algorithm but is an order of magnitude more efficient.

Original languageEnglish
Number of pages9
StatePublished - 1995
EventFluid Dynamics Conference, 1995 - San Diego, United States
Duration: Jun 19 1995Jun 22 1995


ConferenceFluid Dynamics Conference, 1995
Country/TerritoryUnited States
CitySan Diego


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