Implicit characteristic-flux-averaging method for the Euler equations for real gases

Drikakis, D; Tsangaris, S

dc.contributor.author	Drikakis, D	en
dc.contributor.author	Tsangaris, S	en
dc.date.accessioned	2014-03-01T01:08:14Z
dc.date.available	2014-03-01T01:08:14Z
dc.date.issued	1991	en
dc.identifier.issn	0271-2091	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10363
dc.subject	EULER EQUATIONS	en
dc.subject	UPWIND METHODS	en
dc.subject	REAL GASES	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.classification	Physics, Fluids & Plasmas	en
dc.subject.other	Equations of State	en
dc.subject.other	Mathematical Techniques--Numerical Methods	en
dc.subject.other	Euler Equations	en
dc.subject.other	Real Gases	en
dc.subject.other	Upwind Methods	en
dc.subject.other	Gas Dynamics	en
dc.title	Implicit characteristic-flux-averaging method for the Euler equations for real gases	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/fld.1650120803	en
heal.identifier.secondary	http://dx.doi.org/10.1002/fld.1650120803	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	A formulation of an implicit characteristic-flux-averaging method for the unsteady Euler equations with real gas effects is presented. Incorporation of a real gas into a general equation of state is achieved by considering the pressure as a function of density and specific internal energy. The Riemann solver as well as the flux-split algorithm are modified by introducing the pressure derivatives with respect to density and internal energy. Expressions for calculating the values of the flow variables for a real gas at the cell faces are derived. The Jacobian matrices and the eigenvectors are defined for a general equation of state. The solution of the system of equations is obtained by using a mesh-sequencing method for acceleration of the convergence. Finally, a test case for a simple form of equation of state displays the differences from the corresponding solution for an ideal gas.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	International Journal for Numerical Methods in Fluids	en
dc.identifier.doi	10.1002/fld.1650120803	en
dc.identifier.isi	ISI:A1991FK61800001	en
dc.identifier.volume	12	en
dc.identifier.issue	8	en
dc.identifier.spage	611	en
dc.identifier.epage	626	en