Dispersion-relation-preserving finite difference schemes for computational acoustics
Journal of Computational Physics
Several new numerical methods for compressible shear-layer simulations
Applied Numerical Mathematics
Finite difference schemes for long-time integration
Journal of Computational Physics
High-Accuracy Finite-Difference Schemes for Linear Wave Propagation
SIAM Journal on Scientific Computing
Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics
Journal of Computational Physics
An analysis of numerical errors in large-eddy simulations of turbulence
Journal of Computational Physics
On the effect of numerical errors in large eddy simulations of turbulent flows
Journal of Computational Physics
2N-storage low dissipation and dispersion Runge-Kutta schemes for computational acoustics
Journal of Computational Physics
A family of high order finite difference schemes with good spectral resolution
Journal of Computational Physics
A general class of commutative filters for LES in complex geometries
Journal of Computational Physics
Compact implicit MacCormack-type schemes with high accuracy
Journal of Computational Physics
Prefactored small-stencil compact schemes
Journal of Computational Physics
Journal of Computational and Applied Mathematics - Special issue: Selected papers of the international conference on computational methods in sciences and engineering (ICCMSE-2003)
On the use of a high order overlapping grid method for coupling in CFD/CAA
Journal of Computational Physics
Grid stabilization of high-order one-sided differencing I: First-order hyperbolic systems
Journal of Computational Physics
High order Hybrid central-WENO finite difference scheme for conservation laws
Journal of Computational and Applied Mathematics
Journal of Computational Physics
Vorticity-preserving schemes for the compressible Euler equations
Journal of Computational Physics
Journal of Computational Physics
Finite difference approximations of first derivatives for three-dimensional grid singularities
Journal of Computational Physics
Multidimensional optimization of finite difference schemes for Computational Aeroacoustics
Journal of Computational Physics
Journal of Computational Physics
A study of differentiation errors in large-eddy simulations based on the EDQNM theory
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A family of dynamic finite difference schemes for large-eddy simulation
Journal of Computational Physics
A general strategy for the optimization of Runge-Kutta schemes for wave propagation phenomena
Journal of Computational Physics
Lattice Boltzmann method with selective viscosity filter
Journal of Computational Physics
Compact Accurately Boundary-Adjusting high-REsolution Technique for fluid dynamics
Journal of Computational Physics
A new time-space domain high-order finite-difference method for the acoustic wave equation
Journal of Computational Physics
Runge-Kutta methods with minimum storage implementations
Journal of Computational Physics
Conditionally Stable Multidimensional Schemes for Advective Equations
Journal of Scientific Computing
Journal of Computational and Applied Mathematics - Special issue: Selected papers of the international conference on computational methods in sciences and engineering (ICCMSE-2003)
Optimal time advancing dispersion relation preserving schemes
Journal of Computational Physics
A shock-detecting sensor for filtering of high-order compact finite difference schemes
Journal of Computational Physics
Artificial Boundary Conditions for High-Accuracy Aeroacoustic Algorithms
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
A multi-domain Fourier pseudospectral time-domain method for the linearized Euler equations
Journal of Computational Physics
Numerical methods for solid mechanics on overlapping grids: Linear elasticity
Journal of Computational Physics
Random particle methods applied to broadband fan interaction noise
Journal of Computational Physics
A low-dispersion and low-dissipation implicit Runge-Kutta scheme
Journal of Computational Physics
Optimized explicit finite-difference schemes for spatial derivatives using maximum norm
Journal of Computational Physics
Spectral properties of high-order residual-based compact schemes for unsteady compressible flows
Journal of Computational Physics
Hermitian Compact Interpolation on the Cubed-Sphere Grid
Journal of Scientific Computing
Journal of Computational Physics
Hi-index | 31.60 |
Explicit numerical methods for spatial derivation, filtering and time integration are proposed. They are developed with the aim of computing flow and noise with high accuracy and fidelity. All the methods are constructed in the same way by minimizing the dispersion and the dissipation errors in the wavenumber space up to kΔx = π/2 corresponding to four points per wavelength. They are shown to be more accurate, and also more efficient numerically, than most of the standard explicit high-order methods, for uniform and slowly non-uniform grids. Two problems involving long-range sound propagation are resolved to illustrate their respective precisions. Remarks about their practical applications are then made, especially about the connection with the boundary conditions. Finally, their relevance for the simulation of turbulent flows is emphasized.