Accession Number ADA564104
Title Arbitrarily High Order Space-time Method for Conservation Laws on Unstructured Meshes.
Publication Date Mar 2010
Media Count 14p
Personal Author S. Tu
Abstract This research presents a novel high-order space-time method for hyperbolic conservation laws. Two important concepts, the staggered space-time mesh of the space-time conservation element/solution element (CE/SE) method and the local discontinuous basis functions of the space-time discontinuous Galerkin (DG) finite element method, are the two key ingredients of the new scheme. The staggered space-time mesh is constructed using the cell-vertex structure of the underlying spatial mesh. The universal definitions of CEs and SEs are independent of the underlying spatial mesh and thus suitable for arbitrarily unstructured meshes. The solution within each physical time step is updated alternately at the cell level and the vertex level. For this solution updating strategy and the DG ingredient, the new scheme here is termed as the discontinuous Galerkin cell-vertex scheme (DG-CVS). The high order of accuracy is achieved by employing high-order Taylor polynomials as the basis functions inside each SE. Quadrature-free integration is implemented to improve efficiency. The present DG-CVS exhibits many distinct features such as Riemann- solver-free, high-order accuracy in both space and time, point-implicitness, compactness, and ease of handling boundary conditions.
Keywords Advection
Cell vertex schemes
Computation science
Conservation laws(Mathematics)
Dg cvs(Discontinuous galerkin cell vertex scheme)
Differential geometry
High order methods
Mesh
Polynomials
Space time methods
Taylor polynomials


 
Source Agency Non Paid ADAS
NTIS Subject Category 72B - Algebra, Analysis, Geometry, & Mathematical Logic
46B - Fluid Mechanics
Corporate Author Jackson State Univ., MS. Dept. of Computer Engineering.
Document Type Technical report
Title Note Final rept. 15 Mar 2008-14 Mar 2010.
NTIS Issue Number 1302
Contract Number FA9550-08-1-0122

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