INVESTIGADORES
ELASKAR sergio Amado
congresos y reuniones científicas
Título:
A New Riemann Solver
Autor/es:
ELASKAR, SERGIO; FALCINELLI, OSCAR; TAMAGNO, JOSÉ
Lugar:
Buenos Aires
Reunión:
Congreso; 4to Congreso de Matemática Aplicada, Computacional e Industrial - MACI 2013; 2013
Institución organizadora:
Asociación Argentina de Matemática Aplicada, Computacional e Industrial
Resumen:
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solving Euler equations by finite volume method, the numerical fluxes
calculations across cell interfaces, is an essential item. The
numerical scheme exactitude and the correct prediction of the
propagating wave velocities are strongly dependent on such numerical
fluxes. The pioneer paper of Godunov [1] was the starting point to
solve the Euler equations using Riemann solvers. The excellent
results obtained with Godunov technique, motivated several research
lines. All schemes that incorporate Riemann solvers are very precise,
but computational demands, because the algebraic non linear system
must be solved in an iterative manner. An alternative which demands
less computational effort is given by the use of approximate Riemann
solvers, although less accurate. In this paper, an approximate
non-iterative Riemann solver that possesses a high degree of accuracy
and a lower computational demand is described. It is based on the
dimensional analysis to reduce the number of independent variables.