FLUX LIMITERS COMPARISON FOR RESOLUTION OF EULER EQUATION BY TVD METHOD IN QUASI ONE-DIMENSIONAL NOZZLES WITH SUBSONIC/SUPERSONIC FLOW

Rafael Martins de Oliveira e Silva¹; Diomar Cesar Lobão¹; Panters Rodríguez Bermudez¹; Gustavo Benitez Alvarez¹

¹ Universidade Federal Fluminense

doi:10.20906/CPS/CILAMCE2017-0287

Resumo

The resolution of a system of partial differential equations can result in infinite solutions, but only with the correct definition of boundary conditions will be possible to determine the desired approximate solution. Considering the analysis of an isentropic flow in a quasi one-dimensional nozzle, which is governed by a hyperbolic equation, the correct boundary condition specification is directly related to the method of characteristics and depends on the direction of information propagation within the studied domain, which is determined by the problem eigenvalues. However, when the flow is subsonic at the inlet section and supersonic at the outlet section, accordingly to the method of characteristics, one of the eigenvalues will not be defined neither at inlet nor outlet section, what could cause the non convergence of the numerical method to the correct physical solution. This work will investigate the effects of use different flux limiters for solve the subsonic/supersonic case of the quasi one-dimensional Euler equations using the TVD method.

Palavras-chave: Euler Equation; TVD Method; Flux Limiter; Boundary Condition ; Isentropic Flow