论文信息 - Simulations of Acoustic Wave Phenomena Using High-Order Finite Difference Approximations

Simulations of Acoustic Wave Phenomena Using High-Order Finite Difference Approximations

Numerical studies of hyperbolic initial boundary value problems (IBVP) in several space dimensions have been performed using high-order finite difference approximations. It is shown that for wave propagation problems, where the wavelengths are small compared to the domain and long time integrations are needed, high-order schemes are superior to low-order ones. In fact, in two dimensions an acoustic lens is simulated, leading to large scale computations where high-order methods and powerful parallel computers are necessary if an accurate solution is to be obtained.

Bo Strand | B. Strand

[1] P. Olsson. Summation by parts, projections, and stability. II , 1995 .

[2] B. Strand. High-Order Finite Difference Methods for Hyperbolic IBVP , 2022 .

[3] Pelle Olsson. High-Order Difference Methods and Dataparallel Implementation , 1992 .

[4] B. Gustafsson. The convergence rate for difference approximations to mixed initial boundary value problems , 1975 .

[5] H. Kreiss,et al. Comparison of accurate methods for the integration of hyperbolic equations , 1972 .

[6] B. Strand. Summation by parts for finite difference approximations for d/dx , 1994 .

[7] Bertil Gustafsson,et al. The convergence rate for difference approximations to general mixed initial boundary value problems , 1981 .

[8] H. Kreiss,et al. Time-Dependent Problems and Difference Methods , 1996 .

[9] Frank Chorlton. Summation by Parts , 1998 .

[10] H. Kreiss,et al. Finite Element and Finite Difference Methods for Hyperbolic Partial Differential Equations , 1974 .