By Joe Iannelli
This publication info a scientific characteristics-based finite point approach to enquire incompressible, free-surface and compressible flows. The fluid dynamics equations are derived from simple thermo-mechanical ideas and the multi-dimensional and infinite-directional upstream technique is built via combining a finite point discretization of a characteristics-bias process with an implicit Runge-Kutta time integration. For the computational answer of the Euler and Navier Stokes equations, the approach is dependent upon the maths and physics of multi-dimensional features. consequently, the approach crisply captures touch discontinuities, general in addition to indirect shocks, and generates primarily non-oscillatory recommendations for incompressible, subsonic, transonic, supersonic, and hypersonic inviscid and viscous flows.
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