Validation study of vortex methods
Journal of Computational Physics
Computational techniques for fluid dynamics
Computational techniques for fluid dynamics
Solution of flow in complex geometries by the pseudospectral element method
Journal of Computational Physics
The second-order projection method for the backward-facing step flow
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A numerical method for solving incompressible viscous flow problems
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
Efficient pseudospectral flow simulations in moderately complex geometries
Journal of Computational Physics
B-spline method and zonal grids for simulations of complex turbulent flows
Journal of Computational Physics
The integrated space-time finite volume method and its application to moving boundary problems
Journal of Computational Physics
High resolution conjugate filters for the simulation of flows
Journal of Computational Physics
Numerical methods for the generalized Zakharov system
Journal of Computational Physics
DSC time-domain solution of Maxwell's equations
Journal of Computational Physics
A 2D compact fourth-order projection decomposition method
Journal of Computational Physics
Local spectral time splitting method for first- and second-order partial differential equations
Journal of Computational Physics
A windowed Fourier pseudospectral method for hyperbolic conservation laws
Journal of Computational Physics
Journal of Computational Physics
Iterative Filtering Decomposition Based on Local Spectral Evolution Kernel
Journal of Scientific Computing
Journal of Computational Physics
Hi-index | 31.49 |
This paper proposes a discrete singular convolution-finite subdomain method (DSC-FSM) for the analysis of incompressible viscous flows in multiply connected complex geometries. The DSC algorithm has its foundation in the theory of distributions. A block-structured grid of fictitious overlapping interfaces is designed to decompose a complex computational geometry into a finite number of subdomains. In each subdomain, the governing Navier-Stokes equations are discretized by using the DSC algorithm in space and a third-order Runge-Kutta scheme in time. Information exchange between fictitious overlapping zones is realized by using the DSC interpolating algorithm. The Taylor problem, with decaying vortices, could be solved to machine precision, with an excellent comparison against the exact solution. The reliability of the proposed method is tested by simulating the flow in a lid-driven cavity. The utility of the DSC-FSM approach is further illustrated by two other benchmark problems, viz., the flow over a backward-facing step and the laminar flow past a square prism. The present results compare well with the numerical and experimental data available in the literature.