"TITLE","AUTHORS","SUBJECT","SUBJECT_RELATED","DESCRIPTION","PUBLISHER","AVAILABILITY","RESEARCH_ORG","SPONSORING_ORG","PUBLICATION_COUNTRY","PUBLICATION_DATE","CONTRIBUTING_ORGS","LANGUAGE","RESOURCE_TYPE","TYPE_QUALIFIER","JOURNAL_ISSUE","JOURNAL_VOLUME","RELATION","COVERAGE","FORMAT","IDENTIFIER","REPORT_NUMBER","DOE_CONTRACT_NUMBER","OTHER_IDENTIFIER","DOI","RIGHTS","ENTRY_DATE","OSTI_IDENTIFIER","PURL_URL" "Godunov-type methods for the equations of compressible fluid mechanics; Godunov-Typ Verfahren fuer die Gleichungen der kompressiblen Stroemungsmechanik","Munz, C D","42 ENGINEERING; COMPRESSIBLE FLOW; COMPUTERIZED SIMULATION; SHOCK WAVES; WAVE PROPAGATION; NAVIER-STOKES EQUATIONS; TRANSONIC FLOW; SUPERSONIC FLOW; ONE-DIMENSIONAL CALCULATIONS; TWO-DIMENSIONAL CALCULATIONS; LAGRANGIAN FUNCTION; COORDINATES; HYDRODYNAMICS; HELMHOLTZ INSTABILITY; MOTION; RIEMANN FUNCTION; 420400; HEAT TRANSFER AND FLUID FLOW","","In this paper, the construction of a family of shock-capturing schemes is considered: the Godunov-type schemes. At first a review of these schemes is given in the case of the time dependent one-dimensional equations of compressible fluid mechanics, as developed in recent years. After that the construction of the Godunov-type schemes are examined for two-dimensional problems in space and applied to the compressible Navier-Stokes equations. Numerical results of the study of the instability of trans- and supersonic shear flows are shown. The main part of this paper deals with the construction of Godunov-type schemes for the one-dimensional equations of compressible fluid mechanics in Lagrangian coordinates. The paper is closed by proposing a simple Godunov-type scheme for the equations of relativistic hydrodynamics. In each chapter, numerical results for several test problems are presented. (orig.). [Deutsch] In dieser Arbeit wird die Konstruktion einer Klasse von Shock-Capturing Verfahren, die sogenannten Godunov-Typ Verfahren, fuer verschiedene Gleichungssysteme der kompressiblen Stroemungsmechanik untersucht. Zunaechst wird eine Uebersicht ueber diese Verfahren, wie sie in den letzten Jahren entwickelt wurden, fuer die zeitabhaengigen eindimensionalen Gleichungen in Eulerkoordinaten gegeben. Danach wird die Konstruktion dieser Verfahren auf raeumlich zweidimensionale Probleme ausgedehnt und auf die kompressiblen Navier-Stockesgleichungen angewandt. Numerische Ergebnisse von Untersuchungen der Instabilitaet von Scherstroemungen im Trans- und Ueberschallbereich werden gezeigt und miteinander verglichen. Der Hauptteil dieser Arbeit behandelt die Konstruktion von Godunov-Typ Verfahren fuer die Gleichungen der kompressiblen Stroemungsmechanik in Lagrangekoordinaten. Den Abschluss bildet die Herleitung eines einfachen Godunov-Typ Verfahrens fuer die Gleichungen der relativistischen Stroemungsmechanik. Numerische Ergebnisse fuer Testprobleme werden in jedem Kapitel vorgestellt. (orig.).","","OSTI; NTIS (US Sales Only); INIS","Kernforschungszentrum Karlsruhe GmbH (Germany). Inst. fuer Neutronenphysik und Reaktortechnik","","Germany","1992-08-01","","German","Technical Report","","","","Other Information: PBD: Aug 1992","","Medium: X; Size: 165 p.","ON: DE93758687","KFK-5058","","Other: ON: DE93758687; TRN: DE9300968","https://doi.org/","","2008-02-12","10116617",""