Titlebook: Computational Fluid Dynamics 2010; Proceedings of the S Alexander Kuzmin Conference proceedings 2011 Springer-Verlag Berlin Heidelberg 2011

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Reformulated Osher-Type Riemann SolverWe compare the reformulated scheme of this chapter with the original Osher scheme on a series of test problems for the one-dimensional Euler equations for ideal gases, concluding that the present solver is simpler, more robust, more accurate and can be applied to any hyperbolic system.

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A Unifying Discontinuous CPR Formulation for the Navier–Stokes Equations on Mixed Gridskes equations for mixed grids. The CPR framework can unify several popular high order methods including the discontinuous Galerkin and the spectral volume methods into a differential formulation without explicit volume or surface integrations. Several test cases are computed to demonstrate its performance.

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Assessment of the Spectral Volume Method on Inviscid and Viscous Flowsreconstruction is exposed briefly and its applications to the Euler equations are presented through several test cases to assess its accuracy and stability. Comparisons with classical methods such as MUSCL show the superiority of SVM. The SVM method arises as a high-order accurate scheme, geometrically flexible and computationally efficient.

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Reformulated Osher-Type Riemann SolverWe compare the reformulated scheme of this chapter with the original Osher scheme on a series of test problems for the one-dimensional Euler equations for ideal gases, concluding that the present solver is simpler, more robust, more accurate and can be applied to any hyperbolic system.

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Ana Bela Cruzeiro,Jean Claude Zambriniethods to problems for which little or no previous validation data directly applies. The chapter discusses the evolution of NASA’s CFD development from a strict “Develop, Validate, Apply” strategy to sometimes allowing for a “Develop, Apply, Validate” approach. The risks of this approach and some of

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Rama Cont,Peter Tankov,Ekaterina Voltchkovase principles in problems of elastic and elastoplastic deformations is outlined. The presentation is based on extensive numerical simulations performed for both an analysis of the solution convergence details with decreasing mesh step size (for equations of Fluid Dynamics) and the motivation of mode

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L. Bertini,N. Cancrini,G. Jona-Lasinioreconstruction is exposed briefly and its applications to the Euler equations are presented through several test cases to assess its accuracy and stability. Comparisons with classical methods such as MUSCL show the superiority of SVM. The SVM method arises as a high-order accurate scheme, geometrica