The "upwind" scheme to the conservation laws and their application in simulation of 2D and 3D incompressible laminar and turbulent flows with free surfaces / Um esquema "upwind" para leis de conservação e sua aplicação na simulação de escoamentos incompressíveis 2D e 3D laminares e turbulentos com superfícies livres

AUTOR(ES)
DATA DE PUBLICAÇÃO

2009

RESUMO

Althought the PDEs that model conservation laws and fluid dynamics problems are well established, their numerical solutions have presented a continuing challenge. In particular, there are two challenges associated with the computation and the understanding of these problems, namely, formation of shocks and turbulence. Both challenges can be attributed to the nonlinear advection terms of these transport equations. In this scenario, this thesis presents the study of the development of a new high-resolution upwind scheme and its association with turbulence modelling. The performance of the scheme is investigated by solving the 1D advection equation with discontinuous initial data 1D Riemann problems for Burgers, Euler and shallow water equations. Besides, numerical results for 2D and 3D incompressible laminar flows at high Reynolds number are presented. The new scheme is then associated with the capa - epsilonturbulence model for the simulation of 2D and 3D incompressible turbulent flows with moving free surfaces. Application, verification and validation of the numerical methods are also provided

ASSUNTO(S)

escoamentos com superfícies livres equações médias de reynolds equações de navier-stokes solução numérica de leis de conservação método de diferenças finitas modelagem capa - epsilon da turbulência esquema "upwind" de alta resolução navier-stokes equations high-resolution upwind scheme finite difference method averaged navier-stokes equations conservation laws turbullence modeling free surface flows numerical simulation

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