A comparison of higher-order shock capturing schemes within the LAVA CFD solver

Christoph Brehm, Michael F. Barad, Jeffrey A. Housman, Cetin C. Kiris

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

6 Scopus citations

Abstract

The effciency of large-eddy type simulations can be greatly increased by employing higher-order accurate numerical schemes which provide superior accuracy for a given cost. For unsteady turbulent flow simulations including shocks, contacts, and/or material discontinuities, various numerical higher-order shock capturing schemes are available in the literature. The desired numerical scheme should be free of spurious numerical oscillations across discontinuities and obtain higher-order accuracy in smooth flow regions in an effcient manner. Suffcient robustness is absolutely necessary for effectively utilizing these numerical methods in engineering and science applications. Three types of numerical higher-order schemes are dis- cussed in this paper, i.e., central finite-difference schemes with explicit artificial dissipation, a compact centered finite-difference scheme with localized artificial diffusivity and weighted essentially non-oscillatory schemes in explicit and compact finite difference forms. Variations of these numerical schemes were implemented and tested in the Launch Ascent and Vehicle Aerodynamics (LAVA) solver, using a block-structured Cartesian mesh. The current paper provides a detailed discussion and comparison of these numerical schemes. The variety of test cases ranges from 1D shock problems to homogeneous isotropic turbulence at a turbulent Mach number of 0.5 where shocklets form.

Original languageEnglish
Title of host publication52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014
DOIs
StatePublished - 2014
Event52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014 - National Harbor, MD, United States
Duration: Jan 13 2014Jan 17 2014

Publication series

Name52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014

Conference

Conference52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014
Country/TerritoryUnited States
CityNational Harbor, MD
Period1/13/141/17/14

ASJC Scopus subject areas

  • Space and Planetary Science
  • Aerospace Engineering

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