StaRMAP swMATH ID: 16411 Software Authors: B. Seibold; M. Frank Description: StaRMAP—A second order staggered grid method for spherical harmonics moment equations of radiative transfer. We present a simple method to solve spherical harmonics moment systems, such as the the time-dependent PN and SPN equations, of radiative transfer. The method, which works for arbitrary moment order N, makes use of the specific coupling between the moments in the PN equations. This coupling naturally induces staggered grids in space and time, which in turn give rise to a canonical, second-order accurate finite difference scheme. While the scheme does not possess TVD or realizability limiters, its simplicity allows for a very efficient implementation in Matlab. We present several test cases, some of which demonstrate that the code solves problems with ten million degrees of freedom in space, angle, and time within a few seconds. The code for the numerical scheme, called StaRMAP (Staggered grid Radiation Moment Approximation), along with files for all presented test cases, can be downloaded so that all results can be reproduced by the reader. Homepage: http://dl.acm.org/citation.cfm?id=2590808 Related Software: Intel TBB; dune-xt; Eigen; DUNE; LAPACK; hapod; Matlab; Delta Function; GitHub; redbKIT; Python; DYN3D Cited in: 19 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year StaRMAP – a second order staggered grid method for spherical harmonics moment equations of radiative transfer. Zbl 1369.65103Seibold, Benjamin; Frank, Martin 2014 all top 5 Cited by 30 Authors 5 Frank, Martin 4 Schneider, Florian H. 3 Hauck, Cory D. 3 Leibner, Tobias 2 Hermeline, François 2 Küpper, Kerstin 2 McClarren, Ryan G. 2 Seibold, Benjamin 1 Anguill, Pierre 1 Cargo, Patricia 1 Egger, Herbert 1 Enaux, Cedric 1 Fu, Jinxue 1 Heningburg, Vincent 1 Hoch, Philippe 1 Jin, Shi 1 Kapadia, Harshit 1 Labourasse, Emmanuel 1 Laiu, M. Paul 1 Larsen, Edward W. 1 Li, Weiming 1 Ohlberger, Mario 1 Olbrant, Edgar 1 Pu, Can 1 Samba, Gérald 1 Sarna, Neeraj 1 Schlottbom, Matthias 1 Song, Peng 1 Torrilhon, Manuel 1 Wang, Yanli all top 5 Cited in 9 Serials 8 Journal of Computational Physics 2 SIAM Journal on Numerical Analysis 2 Journal of Scientific Computing 2 Journal of Computational and Theoretical Transport 1 ACM Transactions on Mathematical Software 1 SIAM Journal on Scientific Computing 1 Communications in Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics all top 5 Cited in 10 Fields 16 Numerical analysis (65-XX) 12 Statistical mechanics, structure of matter (82-XX) 5 Partial differential equations (35-XX) 5 Integral equations (45-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Functional analysis (46-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year