1 research outputs found
Explicit and Implicit Kinetic Streamlined-Upwind Petrov Galerkin Method for Hyperbolic Partial Differential Equations
A novel explicit and implicit Kinetic Streamlined-Upwind Petrov Galerkin
(KSUPG) scheme is presented for hyperbolic equations such as Burgers equation
and compressible Euler equations. The proposed scheme performs better than the
original SUPG stabilized method in multi-dimensions. To demonstrate the
numerical accuracy of the scheme, various numerical experiments have been
carried out for 1D and 2D Burgers equation as well as for 1D and 2D Euler
equations using Q4 and T3 elements. Furthermore, spectral stability analysis is
done for the explicit 2D formulation. Finally, a comparison is made between
explicit and implicit versions of the KSUPG scheme.Comment: 30 pages, 22 figure