Buch, Englisch, 195 Seiten, PB, Format (B × H): 148 mm x 210 mm, Gewicht: 301 g
Reihe: Ingenieurwissenschaften
Buch, Englisch, 195 Seiten, PB, Format (B × H): 148 mm x 210 mm, Gewicht: 301 g
Reihe: Ingenieurwissenschaften
ISBN: 978-3-8439-3281-3
Verlag: Dr. Hut
These flow phenomena require a special treatment in numerical methods of high order. In the second part of this work, a shock capturing for the DG method is developed which prevents the oscillations originating from the approximation of discontinuities with high order polynomials. Therefore a hybrid approach is presented, where the original DG scheme is coupled with a second order Finite Volume (FV) method. In all elements containing shocks the operator of the DG method is replaced by the FV scheme which is well known for its strengths in handling shocks. However, using the same mesh for the FV method as for the DG scheme would lead to a big reduction in resolution. Hence, to compensate this loss the original elements of the mesh are divided into logical sub-cells. By associating exactly one FV sub-cell to each degree of freedom of a DG element, the same data structures can be used. This enables an efficient implementation of the outlined shock capturing designated for high performance computations. Therefore, not only the basic properties of this hybrid DG/FV sub-cell approach are investigated with several examples, but also studies regarding the parallel efficiency are performed.