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Numerical Modeling of Shallow Water Equations: A Comparative Study Between Mesh-Less and Mesh-Full Methods

Author(s): Sumit Sinha; Michael Rode; Dietrich Borchardt

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Keywords: Finite element; Smoothed particle hydrodynamics; TELEMAC; SPHYSICS

Abstract: The usage of numerical models in environmental hydraulics is ubiquitous; these models are conventionally based on 1, 2 or 3D version of Shallow Water Equations (SWE). SWE are conventionally solved using finite-difference, finite-volume or finite-element scheme. Another technique that is becoming rapidly popular, owning to its mesh-less nature, is Smoothed Particle Hydrodynamics (SPH) methods. In this research a comparative study between these two different methodologies is presented. Classical dam break problems of varying configurations are solved with TELEMAC-3D and SPHYSICS. The simulations results are presented in a comparative manner and benefits offered by each technique are highlighted. TELEMAC-3D solves three-dimensional SWE via finite element technique and uses unstructured mesh. SPHYSICS is based on SPH methods and has been extensively applied for free-surface problems. Both TELEMAC-3D and SPHYSICS are open source and gives user the advantage of adapting the model to their needs. TELEMAC suite of models has been under constant development for more than a decade and was originally developed by Electricite de France (EDF). SPHYSICS is one of the modules of a larger open source initiative by researchers at the University of Vigo (Spain), the University of Manchester (UK) and the Johns Hopkins University (USA).

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Year: 2013

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