Record number :
Title of article :
Space–time discontinuous Galerkin method for nonlinear water waves
Author/Authors :
van der Vegt، نويسنده , , J.J.W. and Xu، نويسنده , , Yan، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
Pages :
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Abstract :
A space–time discontinuous Galerkin (DG) finite element method for nonlinear water waves in an inviscid and incompressible fluid is presented. The space–time DG method results in a conservative numerical discretization on time dependent deforming meshes which follow the free surface evolution. The algorithm is higher order accurate, both in space and time, and closely related to an arbitrary Lagrangian Eulerian (ALE) approach. A detailed derivation of the numerical algorithm is given including an efficient procedure to solve the nonlinear algebraic equations resulting from the space–time discretization. Numerical examples are shown on a series of model problems to demonstrate the accuracy and capabilities of the method.
Keywords :
Arbitrary Lagrangian Eulerian method , Space–time discontinuous Galerkin method , Elliptic–hyperbolic partial differential equations , Free surfaces , nonlinear waves
Journal title :
Journal of Computational Physics
Journal title :
Journal of Computational Physics
Serial Year :
Link To Document :