Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows - Efficient flux quadrature

Space-time discontinuous Galerkin finite element method with dynamic grid motion for inviscid compressible flows - Efficient flux quadrature

van der Ven, H.
van der Vegt, J.J.W.

National Aerospace Laboratory NLR

2002-01-31

A new and efficient quadrature rule for the flux integrals arising in the space-time discontinuous Galerkin discretization of the Euler equations in a moving and deforming space-time domain is presented and analyzed. The quadrature rule is a factor three more efficient than the commonly applied quadrature rule and does not affect the local truncation error and stability of the numerical scheme. The local truncation error of the resulting numerical discretization is determined and is shown to be the same as when product Gauss quadrature rules are used. Details of the approximation of the dissipation in the numerical flux are presented, which render the scheme consistent and stable. The method is succesfully applied to the simulation of a three-dimensional, transonic flow over a deforming wing.

http://resolver.tudelft.nl/uuid:072b01a7-e346-42f2-ab31-d25f5fc108b2

Nationaal Lucht- en Ruimtevaartlaboratorium

Campus only

NLR Technical Publication TP 2001-605

Aerospace Engineering Reports

report

(c)2002 National Aerospace Laboratory NLR