Author(s): Georges Kesserwani; Nils Gerhard; Siegfried Muller; Dilshad Haleem
Linked Author(s): Georges Kesserwani
Keywords: Resolution adaptability; Discontinuous Galerkin method; Multiwavelets; Shallow water modelling
Abstract: This paper presents a new numerical modelling Godunov-type framework that is local, conservative and inherently scalable in both accuracy and resolution. The keystone of the framework is to combine multiwavelets within the discontinuous Galerkin (MWDG) formulation, not only to allow local resolution scalability but also to create heterogeneous solution structure for mesh adaptivity by manipulating the coefficients of the wavelet expansion. The discontinuous Galerkin method is revisited with particular focus on how it reformulates with multiwavelets for solving the shallow water equations, and how solution adaptivity is achieved within this context. The adaptive MWDG model is tested for simulation of dam-break flow demonstrating capability to model compound flows with multi-resolutions.
Year: 2014