Kinetic energy and entropy preserving schemes by split convective forms on hierarchical cartesian grids with hanging nodes

Yuichi Kuya, Yuma Fukushima, Yoshiharu Tamaki, Soshi Kawai

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

1 Citation (Scopus)

Abstract

A numerical scheme for stable and non-dissipative compressible flow simulations on hierarchical Cartesian grids is proposed. The scheme is based on the kinetic energy and entropy preserving (KEEP) schemes which were proposed recently. In previous studies, the KEEP schemes demonstrated more stable flow simulations, compared to typical kinetic energy preserving (KEP) schemes. An extension of the KEEP scheme is performed to satisfy conservation even at computational block boundaries associated with hanging nodes; the sum of the outflux from a fine grid block is the same as the influx to a coarse grid block, and the same is true for the flux exchange in the opposite direction. The extension of the KEEP scheme will be assessed by a numerical experiment at the conference.

Original languageEnglish
Title of host publicationAIAA Scitech 2019 Forum
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624105784
DOIs
Publication statusPublished - 2019 Jan 1
EventAIAA Scitech Forum, 2019 - San Diego, United States
Duration: 2019 Jan 72019 Jan 11

Publication series

NameAIAA Scitech 2019 Forum

Conference

ConferenceAIAA Scitech Forum, 2019
CountryUnited States
CitySan Diego
Period19/1/719/1/11

ASJC Scopus subject areas

  • Aerospace Engineering

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