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2 produkter
2 produkter
2 101 kr
Skickas inom 10-15 vardagar
The book details multi-dimensional upstream-bias algorithms for the numerical solution of the Euler and Navier-Stokes equations. Several sections derive the Fluid Dynamics equations from fundamental thermo-mechanics principles and systematically develops multi-dimensional upstream CFD algorithms with finite element procedures and implicit Runge-Kutta time integration algorithms. For mesh independence the formulation is developed at the differential equation level, before any spatial discretization. This formulation generates non-discrete characteristics-bias systems that incorporate an intrinsically multi-dimensional and infinite-directional genuinely upwind dissipation mechanism. A traditional centered discretization of the characteristics-bias system then automatically generates consistent and multi-dimensional arbitrary-mesh upstream discretizations of the Euler and Navier-Stokes Equations.
2 101 kr
Skickas inom 10-15 vardagar
This book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows. Several sections derive the Fluid Dynamics equations from thermo-mechanics principles and develop this multi-dimensional and infinite-directional upstream procedure by combining a finite element discretization with an implicit non-linearly stable Runge-Kutta time integration for the numerical solution of the Euler and Navier Stokes equations. Based on the mathematics and physics of multi-dimensional characteristics, convection as well as acoustics, and inducing by design a controllable multi-dimensional upwind bias that can be locally optimized, 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 with chemical reactions and work, heat and mass transfer.