3 papers
cs.CE2018
Python Framework for HP Adaptive Discontinuous Galerkin Method for Two Phase Flow in Porous Media
Andreas Dedner, Birane Kane, Robert Klöfkorn +1
In this paper we present a framework for solving two phase flow problems in porous media. The discretization is based on a Discontinuous Galerkin method and includes local grid ada…
math.NA2016
Constrained Reconstruction in MUSCL-type Finite Volume Schemes
Christoph Gersbacher, Martin Nolte
In this paper we are concerned with the stabilization of MUSCL-type finite volume schemes in arbitrary space dimensions. We consider a number of limited reconstruction techniques w…
math.NA2006
Well-Balanced Schemes for the Initial Boundary Value Problem for 1D Scaler Conservation Laws
M. Nolte, D. Kroener
We consider well-balanced schemes for the following 1D scalar conservation law with source term: d_t u + d_x f(u) + z'(x) b(u) = 0. More precisely, we are interested in the numeric…