TY - JOUR
T1 - Joint Optimization of the Spatial and the Temporal Discretization Scheme for Accurate Computation of Acoustic Problems
JO - Communications in Computational Physics
VL - 2
SP - 408
EP - 434
PY - 2018
DA - 2018/08
SN - 24
DO - http://doi.org/10.4208/cicp.OA-2017-0191
UR - https://global-sci.org/intro/article_detail/cicp/12246.html
KW - DRP scheme, compact difference scheme, computational acoustics, barrier, wave propagation.
AB - <p style="text-align: justify;">Here, a physical dispersion relation preserving (DRP) scheme has been developed by combined optimization of the spatial and the multi-stage temporal discretization scheme to solve acoustics problems accurately. The coupled compact difference scheme (CCS) has been spectrally optimized (OCCS) for accurate evaluation
of the spatial derivative terms. Next, the combination of the OCCS scheme and the five
stage Runge-Kutta time integration (ORK5) scheme has been optimized to reduce numerical diffusion and dispersion error significantly. Proposed OCCS−ORK5 scheme
provides accurate solutions at considerably higher CFL number. In addition, ORK5
time integration scheme consists of low storage formulation and requires less memory
as compared to the traditional Runge-Kutta schemes. Solutions of the model problems involving propagation, reflection and diffraction of acoustic waves have been
obtained to demonstrate the accuracy of the developed scheme and its applicability to
solve complex problems.</p>