This paper describes an adaptive grid finite difference solver for time-dependent three-dimensional systems of partial differential equations. The robustness and the efficiency of the solver are illustrated by the application of the code to three example problems. The performance of the solver is measured both for vector and scalar processors. (Source: http://dl.acm.org/)

This software is also peer reviewed by journal TOMS.

References in zbMATH (referenced in 13 articles , 1 standard article )

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  1. Gao, Xinfeng; Groth, Clinton P. T.: A parallel solution-adaptive method for three-dimensional turbulent non-premixed combusting flows (2010)
  2. Gibou, Frederic; Min, Chohong; Ceniceros, Hector D.: Non-graded adaptive grid approaches to the incompressible Navier-Stokes equations (2007)
  3. Verwer, J. G.; Sommeijer, B. P.; Hundsdorfer, W.: RKC time-stepping for advection-diffusion-reaction problems (2004)
  4. Capasso, V. (ed.): Mathematical modelling & computing in biology and medicine. Papers from the 5th ESMTB conference, Milan, Italy, July 2--6, 2002. (2003)
  5. Lange, C. F.; Schäfer, M.; Durst, F.: Local block refinement with a multigrid flow solver (2002)
  6. Trefry, M. G.; Öhman, J.; Davis, G. B.: A simple numerical approach for assessing coupled transport processes in partitioning systems (2001)
  7. Genseberger, Menno; Sleijpen, Gerard L. G.: Alternative correction equations in the Jacobi-Davidson method (1999)
  8. Budd, C. J.; Humphries, A. R.: Adaptive methods for semi-linear elliptic equations with critical exponents and interior singularities (1998)
  9. de Sturler, Eric: Truncation strategies for optimal Krylov subspace methods (1998)
  10. Gerritsen, Margot; Olsson, Pelle: Designing an efficient solution strategy for fluid flows. II: Stable high-order central finite difference schemes on composite adaptive grids with sharp shock resolution (1998)
  11. Blom, J. G.; Verwer, J. G.: Algorithm 759: VLUGR3: A vectorizable adaptive-grid solver for PDEs in 3D. II: Code description (1996)
  12. Trompert, R. A.: Local uniform grid refinement for time-dependent partial differential equations. (1995)
  13. Blom, J. G.; Verwer, J. G.: VLUGR3: A vectorizable adaptive grid solver for PDEs in 3D. I: Algorithmic aspects and applications (1994)