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Preprints of the Keldysh Institute of Applied Mathematics, 2006, 071, 22 pp. (Mi ipmp619)  

Piecewise parabolic method on local stencil. II. Gasdynamics equations

S. D. Ustyugov, M. V. Popov
Abstract: Technique for solving of gasdynamics system of equations with the help of piecewise parabolic method on local stencil (PPML) suggested. This method is suggested by authors modification of standard piecewise parabolic method (PPM). The modification is based on the property of Riemann invariants to conserve when moving along the characteristic curves of hyperbolic system of equations and improves the dissipative properties of PPM. Testing of PPML was carried out for some 1D and 2D test problems of gas dynamics.
Document Type: Preprint
Language: Russian
Citation: S. D. Ustyugov, M. V. Popov, “Piecewise parabolic method on local stencil. II. Gasdynamics equations”, Keldysh Institute preprints, 2006, 071, 22 pp.
Citation in format AMSBIB
\Bibitem{UstPop06}
\by S.~D.~Ustyugov, M.~V.~Popov
\paper Piecewise parabolic method on local stencil. II.~Gasdynamics equations
\jour Keldysh Institute preprints
\yr 2006
\papernumber 071
\totalpages 22
\mathnet{http://mi.mathnet.ru/ipmp619}
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  • https://www.mathnet.ru/eng/ipmp/y2006/p71
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    Препринты Института прикладной математики им. М. В. Келдыша РАН
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