Stable, non-dissipative and physically-consistent kinetic energy and entropy preserving (Keep) schemes for compressible flows

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

It is well known that it is effective to satisfy the conservation of secondary quantities, such as kinetic energy and entropy, for achieving stable numerical simulations of turbulent flows. Although the secondary conservative quantities can analytically be derived from the primary conservative quantities, kinetic energy preservation (KEP) or entropy preservation (EP) is not always guaranteed in a discrete sense. Some previous studies showed that KEP or EP schemes could enhance the numerical robustness of turbulent flow simulations without introducing additional numerical viscosity. Recently, the authors proposed kinetic energy and entropy preserving (KEEP) schemes for a Cartesian coordinate system and showed that the KEEP schemes could enhance numerical stability further, compared to typical KEP schemes. For the past three years, we have been working for three research subjects related to the KEEP schemes: a 2nd-order KEEP scheme on uniform Cartesian grids, a KEEP scheme for non-conforming block boundaries on Cartesian grids, and high-order KEEP schemes on generalized curvilinear grids. This study comprehensively discusses the recent progress in the development of the KEEP schemes.

Original languageEnglish
Title of host publicationAIAA Scitech 2020 Forum
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
Pages1-13
Number of pages13
ISBN (Print)9781624105951
DOIs
Publication statusPublished - 2020
EventAIAA Scitech Forum, 2020 - Orlando, United States
Duration: 2020 Jan 62020 Jan 10

Publication series

NameAIAA Scitech 2020 Forum
Volume1 PartF

Conference

ConferenceAIAA Scitech Forum, 2020
CountryUnited States
CityOrlando
Period20/1/620/1/10

ASJC Scopus subject areas

  • Aerospace Engineering

Fingerprint Dive into the research topics of 'Stable, non-dissipative and physically-consistent kinetic energy and entropy preserving (Keep) schemes for compressible flows'. Together they form a unique fingerprint.

Cite this