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Numerical analysis of Richards` problem for water penetration in
Numerical analysis of Richards` problem for water penetration in

... used an implicit method and presented equations governing two-dimensional irrigation of water into unsaturated soil based on Richards’ equation. The Gauss-Seidel method was then effectively used to solve the resulting equations. Ross (2003) introduced an efficient non-iterative solution for Richards ...
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dynamic material point method with applications in

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The computation of an unstable invariant set inside a cylinder

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... each and every time. • A stochastic model involves random variables that are functions of time and include probabilistic considerations. For a given set of initial conditions, a stochastic model yields a different solution each and every time. ...
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Computational fluid dynamics



Computational fluid dynamics, usually abbreviated as CFD, is a branch of fluid mechanics that uses numerical analysis and algorithms to solve and analyze problems that involve fluid flows. Computers are used to perform the calculations required to simulate the interaction of liquids and gases with surfaces defined by boundary conditions. With high-speed supercomputers, better solutions can be achieved. Ongoing research yields software that improves the accuracy and speed of complex simulation scenarios such as transonic or turbulent flows. Initial experimental validation of such software is performed using a wind tunnel with the final validation coming in full-scale testing, e.g. flight tests.
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