An Eulerian Interface-Sharpening Algorithm for Compressible Gas Dynamics

Keh-Ming Shyue ()
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Keh-Ming Shyue: National Taiwan University, Department of Mathematics

A chapter in Modeling, Simulation and Optimization of Complex Processes - HPSC 2012, 2014, pp 221-231 from Springer

Abstract: Abstract We describe a novel Eulerian interface-sharpening approach for the efficient numerical resolution of contact discontinuities arising from inviscid compressible flow in more than one space dimension. The algorithm uses the single-phase compressible Euler equations as the model system, and introduces auxiliary differential terms to the model so as to neutralize numerical diffusion that is inevitable when the original Euler system is solved by a diffused interface method. A standard fractional-step method is employed to solve the proposed model equations in two steps, yielding an easy implementation of the algorithm. Preliminary results obtained using an anti-diffusion based model system are shown to demonstrate the feasibility of the algorithm for practical problems.

Keywords: Compressible Flow; Contact Discontinuity; Adaptive Mesh Refinement; Diffuse Interface Method; Inviscid Compressible Flow (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-09063-4_18

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DOI: 10.1007/978-3-319-09063-4_18

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