Reducing reflections from mesh refinement interfaces in numerical relativity

Details Reducing reflections from mesh refinement interfaces in numerical relativity Reducing reflections from mesh refinement interfaces in numerical relativity

2005-05-19

arxiv.org/abs/gr-qc/0505100v1

Phys.Rev. D72 (2005) 104010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages

Scientific paper

Full interpretation of data from gravitational wave observations will require accurate numerical simulations of source systems, particularly binary black hole mergers. A leading approach to improving accuracy in numerical relativity simulations of black hole systems is through fixed or adaptive mesh refinement techniques. We describe a manifestation of numerical interface truncation error which appears as slowly converging, artificial reflections from refinement boundaries in a broad class of mesh refinement implementations, potentially compromising the effectiveness of mesh refinement techniques for some numerical relativity applications if left untreated. We elucidate this numerical effect by presenting a model problem which exhibits the phenomenon, but which is simple enough that its numerical error can be understood analytically. Our analysis shows that the effect is caused by variations in finite differencing error generated across low and high resolution regions, and that its slow convergence is caused by the presence of dramatic speed differences among propagation modes typical of 3+1 relativity. Lastly, we resolve the problem, presenting a class of finite differencing stencil modifications, termed mesh-adapted differencing (MAD), which eliminate this pathology in both our model problem and in numerical relativity examples.

Affiliated with

Also associated with

No associations

Rating

Reducing reflections from mesh refinement interfaces in numerical relativity 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 Reducing reflections from mesh refinement interfaces in numerical relativity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reducing reflections from mesh refinement interfaces in numerical relativity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-581887