Embedded boundary algorithms and software for partial differential equations

Journal of Physics: Conference Series

Volumn 125, Issue , 2008, Pages

  Colella, P ^a   Graves, D ^a   Ligocki, T ^a   Trebotich, D ^b   Van Straalen, B ^a  

^a LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

^b LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 65649144169     PISSN: 17426588     EISSN: 17426596     Source Type: Conference Proceeding    
DOI: 10.1088/1742-6596/125/1/012084     Document Type: Article

References (14)

1. Colella P 2001 Volume-of-fluid methods for partial differential equations Godunov Methods: Theor. Appl. (E F Toro) 161-177
2. Ligocki T, Schwartz P, Percelay J and Colella P 2008 Embedded boundary grid generation using the divergence theorem, implicit functions, and constructive solid geometry Proc. SciDAC 2008
3. Martin D F, Colella P and Graves D T 2006 A cell-centered adaptive projection method for the incompressible Navier-Stokes equations in three dimensions (LBNL report LBNL-62025)
4. Martin D F and Colella P 1996 Solving Poisson's equation using adaptive mesh refinement (UC Berkeley Electronics Research Laboratory report No. UCB/ERL M96/66)
5. Aftosmis M, Berger M J and Melton J 1998 Robust and efficient Cartesian mesh generation for component-based geometry AIAA J. 36 (6) 952-960
6. Colella P, Bell J, Keen N, Ligocki T, Lijewski M and Van Straalen B 2007 Performance and scaling of locally-structured grid methods for partial differential equations Proc. SciDAC 2007
7. Schwartz P, Barad M, Colella P and Ligocki T J 2006 A Cartesian grid embedded boundary method for the heat equation and Poisson's equation in three dimensions (LBNL-56607) J. Comput. Phys. 211 531-550
8. Colella P, Graves D, Van Straalen B and Trebotich D 2008 Performance of embedded boundary methods for CFD with complex geometry Proc. SciDAC 2008
9. Colella P, Graves D T, Keen B J and Modiano D 2006 A Cartesian grid embedded boundary method for hyperbolic conservation laws (LBNL-56420) J. Comput. Phys. 211 347-366
10. Twizell E H, Gumel A B and Arigu M A 1996 Second-order, 10-stable methods for the heat equation with time-dependent boundary conditions Adv.Comput. Mathmatics 6 333-352
11. Colella P and Woodward P 1984 The piecewise parabolic method (PPM) for gas-dynamical simulations J. Comput. Phys. 54 (1) 174-201
12. Martin D and Colella P 2000 A cell-centered adaptive projection method for the incompressible Euler equations J. Comput. Phys. 163 271-312
13. Schwartz P, Adalsteinsson D, Colella P, Arkin A and Onsum M 2005 Numerical computation of diffusion on a surface Proc. Nat. Acad. Sci. 102 11151-11156 1999
14. Colella P and Pao K 1999 A projection method for low speed flows J. Comput. Phys. 149 245-269