A Second-Order Unsplit Godunov Scheme for Cell-Centered MHD: the CTU-GLM scheme

Details A Second-Order Unsplit Godunov Scheme for Cell-Centered MHD: the CTU-GLM scheme A Second-Order Unsplit Godunov Scheme for Cell-Centered MHD: the CTU-GLM scheme

2009-11-17

arxiv.org/abs/0911.3410v1

Astronomy and Astrophysics

Astrophysics

Instrumentation and Methods for Astrophysics

31 Pages, 16 Figures Accepted for publication in Journal of Computational Physics

Scientific paper

We assess the validity of a single step Godunov scheme for the solution of the magneto-hydrodynamics equations in more than one dimension. The scheme is second-order accurate and the temporal discretization is based on the dimensionally unsplit Corner Transport Upwind (CTU) method of Colella. The proposed scheme employs a cell-centered representation of the primary fluid variables (including magnetic field) and conserves mass, momentum, magnetic induction and energy. A variant of the scheme, which breaks momentum and energy conservation, is also considered. Divergence errors are transported out of the domain and damped using the mixed hyperbolic/parabolic divergence cleaning technique by Dedner et al. (J. Comput. Phys., 175, 2002). The strength and accuracy of the scheme are verified by a direct comparison with the eight-wave formulation (also employing a cell-centered representation) and with the popular constrained transport method, where magnetic field components retain a staggered collocation inside the computational cell. Results obtained from two- and three-dimensional test problems indicate that the newly proposed scheme is robust, accurate and competitive with recent implementations of the constrained transport method while being considerably easier to implement in existing hydro codes.

Affiliated with

Also associated with

No associations

Rating

A Second-Order Unsplit Godunov Scheme for Cell-Centered MHD: the CTU-GLM scheme does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Second-Order Unsplit Godunov Scheme for Cell-Centered MHD: the CTU-GLM scheme, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Second-Order Unsplit Godunov Scheme for Cell-Centered MHD: the CTU-GLM scheme will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-240000