Generation of smooth grids with line control for scattering from multiple obstacles

Mathematics and Computers in Simulation

Volumn 79, Issue 8, 2009, Pages 2506-2520

  Villamizar, Vianey ^a   Acosta, Sebastian ^a  

^a BRIGHAM YOUNG UNIVERSITY   (United States)

Author keywords

Elliptic grid generation; Grid line control; Multiple scattering; Radar cross section; Smoothing process

Indexed keywords

ACOUSTIC WAVE SCATTERING; MULTIPLE SCATTERING; RADAR CROSS SECTION;

ACOUSTIC SCATTERING PROBLEMS; BRANCH CUTS; CURVILINEAR COORDINATES; ELLIPTIC GRID GENERATION; FINITE NUMBERS; GRID LINE CONTROL; MULTIPLY CONNECTED REGIONS; NEW APPROACHES; SINGLE HOLES; SMOOTHING PROCESS; STRUCTURED GRIDS; TWO-DIMENSIONAL;

MESH GENERATION;

EID: 63449114120     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2009.01.006     Document Type: Article

References (13)

1. Akcelik V., Jaramaz B., and Ghattas O. Nearly orthogonal two-dimensional grid generation with aspect ratio control. J. Comp. Phys. 171 (2001) 805-821
2. Bayliss A., and Turkel E. Boundary conditions for the numerical solution of elliptic equations in exterior regions. SIAM J. Appl. Math. 42 (1982) 430-451
3. Bruno O.P., and Hyde E.M. Higher-order Fourier approximation in scattering by two-dimensional, inhomogeneous media. SIAM J. Numer. Anal. 42 (2005) 2298-2319
4. Eca L. 2D orthogonal grid generation with boundary point distribution control. J. Comp. Phys. 125 (1996) 440-453
5. Khamayseh A., and Kuprat A. Surface grid generation systems. In: Thompson J.F., Soni B.K., and Weatherill N.P. (Eds). Handbook of Grid Generation (1999), CRC Press 9.1-929.929
6. Manoha E., Guenanff R., Redonnet S., and Terracol M. Acoustic scattering from complex geometries. Proceedings 10th AIAA/CEAS Aeroacosutics Conference, AIAA (2004) 1543-1551
7. Sewell G. The Numerical Solution of Ordinary and Partial Differential Equations (2005), Wiley
8. Sherer S.E., and Scott J.N. High-order compact finite-difference methods on general overset methods. J. Comput. Phys. 210 (2005) 459-496
9. Sherer S., and Visbal M. High-order overset-grid simulations of acoustic scattering from multiple cylinders. Proceedings of the Fourth Computational Aeroacoustics (CAA) Workshop on Benchmark Problems, NASA/CP-2004-212954 (2004)
10. Thompson J.F. A general three-dimensional elliptic grid generation system on a composite block structure. Comput. Meth. Appl. Mech. Eng. 64 (1987) 377-411
11. Thompson J.F., Soni B.K., and Weatherill N.G. Handbook of Grid Generation (1999), CRC Press
12. Villamizar V., Rojas O., and Mabey J. Generation of curvilinear coordinates on multiply connected regions with boundary singularities. J. Comput. Phys. 223 (2007) 571-588
13. Villamizar V., and Weber M. Boundary-conforming coordinates with grid line control for acoustic scattering from complexly shaped obstacles. Numer. Meth. Part. Differ. Equ. 23 (2007) 1445-1467