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ISBN 978-3-540-45343-7
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ISBN 978-3-540-25181-1
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ISBN 978-3-642-06430-2
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This book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows. The fluid dynamics equations are derived from basic thermo-mechanical principles and the multi-dimensional and infinite-directional upstream procedure is developed by combining a finite element discretization of a characteristics-bias system with an implicit Runge-Kutta time integration. For the computational solution of the Euler and Navier Stokes equations, the procedure relies on the mathematics and physics of multi-dimensional characteristics. As a result, the procedure crisply captures contact discontinuities, normal as well as oblique shocks, and generates essentially non-oscillatory solutions for incompressible, subsonic, transonic, supersonic, and hypersonic inviscid and viscous flows.
Content Level » Research
Keywords » Compressible Flows - Computational Fluid Dynamics - Finite Elements - Free-Surface Flows - Incompressible Flows - Multi-Dimensional, Infinite-Directional Upwind - Reactive Flows - convection - fluid dynamics - fluid mechanics
Related subjects » Classical Continuum Physics - Computational Intelligence and Complexity - Computational Science & Engineering - Mechanics
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