Dispersion-relation-preserving finite difference schemes for computational acoustics

Conservative hybrid compact-WENO schemes for shock-turbulence interaction

Journal of Computational Physics

Strategies for Adopting FVTD on Multicomputers

Computing in Science and Engineering

On the use of higher-order finite-difference schemes on curvilinear and deforming meshes

Journal of Computational Physics

A new compact spectral scheme for turbulence simulations

Journal of Computational Physics

Acoustic perturbation equations based on flow decomposition via source filtering

Journal of Computational Physics

High resolution conjugate filters for the simulation of flows

Journal of Computational Physics

Optimized prefactored compact schemes

Journal of Computational Physics

Analysis of central and upwind compact schemes

Journal of Computational Physics

A family of low dispersive and low dissipative explicit schemes for flow and noise computations

Journal of Computational Physics

A collocated grid finite volume method for aeroacoustic computations of low-speed flows

Journal of Computational Physics

Hybrid tuned center-difference-WENO method for large eddy simulations in the presence of strong shocks

Journal of Computational Physics

An algebraic method to develop well-posed PML models absorbing layers, perfectly matched layers, linearized Euler equations

Journal of Computational Physics

High Accuracy Compact Schemes and Gibbs' Phenomenon

Journal of Scientific Computing

High-order Compact Schemes with Filters on Multi-block Domains

Journal of Scientific Computing

A Perfectly Matched Layer absorbing boundary condition for linearized Euler equations with a non-uniform mean flow

Journal of Computational Physics

Application of dispersion-relation-preserving theory to develop a two-dimensional convection-diffusion scheme

Journal of Computational Physics

A new category of Hermitian upwind schemes for computational acoustics

Journal of Computational Physics

Solving Schemes for Computational Magneto-Aerodynamics

Journal of Scientific Computing

High-order Compact Schemes for Nonlinear Dispersive Waves

Journal of Scientific Computing

High Accuracy Schemes for DNS and Acoustics

Journal of Scientific Computing

Frequency Optimized Computation Methods

Journal of Scientific Computing

A proof that the discrete singular convolution (DSC)/Lagrange-distributed approximating function (LDAF) method is inferior to high order finite differences

Journal of Computational Physics

Improving Godunov-type reconstructions for simulation of vortex-dominated flows

Journal of Computational Physics

Optimization of time integration schemes coupled to spatial discretization for use in CAA applications

Journal of Computational Physics

High-order compact finite-difference methods on general overset grids

Journal of Computational Physics

Finite volume treatment of dispersion-relation-preserving and optimized prefactored compact schemes for wave propagation

Journal of Computational Physics

A new category of Hermitian upwind schemes for computational acoustics - II: two-dimensional aeroacoustics

Journal of Computational Physics

Finite difference approximations of first derivatives for two-dimensional grid singularities

Journal of Computational Physics

Analysis of a new high resolution upwind compact scheme

Journal of Computational Physics

A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence

Journal of Computational Physics

Finite difference time domain dispersion reduction schemes

Journal of Computational Physics

The spatial resolution properties of composite compact finite differencing

Journal of Computational Physics

High-Order Compact ADI Methods for Parabolic Equations

Computers & Mathematics with Applications

Performance analysis and optimization of finite-difference schemes for wave propagation problems

Journal of Computational Physics

Grid stabilization of high-order one-sided differencing I: First-order hyperbolic systems

Journal of Computational Physics

High-order, low dispersive and low dissipative explicit schemes for multiple-scale and boundary problems

Journal of Computational Physics

Short Note: On the application of explicit spatial filtering to the variables or fluxes of linear equations

Journal of Computational Physics

Development of arbitrary-order multioperators-based schemes for parallel calculations. 1: Higher-than-fifth-order approximations to convection terms

Journal of Computational Physics

Finite difference approximations of first derivatives for three-dimensional grid singularities

Journal of Computational Physics

Discontinuous Galerkin methods with plane waves for time-harmonic problems

Journal of Computational Physics

Optimized three-dimensional FDTD discretizations of Maxwell's equations on Cartesian grids

Journal of Computational Physics

A new family of high-order compact upwind difference schemes with good spectral resolution

Journal of Computational Physics

Numerical investigation of a source extraction technique based on an acoustic correction method

Computers & Mathematics with Applications

Wavenumber-extended high-order oscillation control finite volume schemes for multi-dimensional aeroacoustic computations

Journal of Computational Physics

An effective explicit pressure gradient scheme implemented in the two-level non-staggered grids for incompressible Navier-Stokes equations

Journal of Computational Physics

Multidimensional optimization of finite difference schemes for Computational Aeroacoustics

Journal of Computational Physics

Absorbing boundary conditions for nonlinear Euler and Navier-Stokes equations based on the perfectly matched layer technique

Journal of Computational Physics

Development of nonlinear weighted compact schemes with increasingly higher order accuracy

Journal of Computational Physics

Characteristic boundary conditions with finite-volume ENO scheme for aeroacoustic simulations

International Journal of Computational Fluid Dynamics

Pseudo-wave decomposition high-order method for magnetogasdynamics

Journal of Computational Physics

Numerical simulations of acoustic fields on boundary-fitted grids

Mathematics and Computers in Simulation

Development of a dispersively accurate conservative level set scheme for capturing interface in two-phase flows

Journal of Computational Physics

Comparison between lattice Boltzmann method and Navier-Stokes high order schemes for computational aeroacoustics

Journal of Computational Physics

Changes in fluctuation waves in coherent airflow structures with input perturbation

WSEAS Transactions on Signal Processing

A family of dynamic finite difference schemes for large-eddy simulation

Journal of Computational Physics

A new combined stable and dispersion relation preserving compact scheme for non-periodic problems

Journal of Computational Physics

Numerical solution for the wave equation

International Journal of Computer Mathematics

On the development of a dispersion-relation-preserving dual-compact upwind scheme for convection-diffusion equation

Journal of Computational Physics

High-accuracy large-step explicit Runge-Kutta (HALE-RK) schemes for computational aeroacoustics

Journal of Computational Physics

A general strategy for the optimization of Runge-Kutta schemes for wave propagation phenomena

Journal of Computational Physics

Finite difference computation of acoustic scattering by small surface inhomogeneities and discontinuities

Journal of Computational Physics

Compact Accurately Boundary-Adjusting high-REsolution Technique for fluid dynamics

Journal of Computational Physics

A dispersion-relation-preserving algorithm for a nonlinear shallow-water wave equation

Journal of Computational Physics

Construction of explicit and implicit dynamic finite difference schemes and application to the large-eddy simulation of the Taylor-Green vortex

Journal of Computational Physics

A high-order low-dispersion symmetry-preserving finite-volume method for compressible flow on curvilinear grids

Journal of Computational Physics

A new time-space domain high-order finite-difference method for the acoustic wave equation

Journal of Computational Physics

The spectral order of accuracy: A new unified tool in the design methodology of excitation-adaptive wave equation FDTD schemes

Journal of Computational Physics

Conditionally Stable Multidimensional Schemes for Advective Equations

Journal of Scientific Computing

A sixth-order dual preserving algorithm for the Camassa-Holm equation

Journal of Computational and Applied Mathematics

Optimal time advancing dispersion relation preserving schemes

Journal of Computational Physics

A differentially interpolated direct forcing immersed boundary method for predicting incompressible Navier-Stokes equations in time-varying complex geometries

Journal of Computational Physics

Curvilinear finite-volume schemes using high-order compact interpolation

Journal of Computational Physics

A dynamically optimized finite difference scheme for Large-Eddy Simulation

Journal of Computational and Applied Mathematics

Resolution of computational aeroacoustics problems on unstructured grids with a higher-order finite volume scheme

Journal of Computational and Applied Mathematics

Generalized conservative approximations of split convective derivative operators

Journal of Computational Physics

A PML-based nonreflective boundary for free surface fluid animation

ACM Transactions on Graphics (TOG)

Analysis of anisotropy of numerical wave solutions by high accuracy finite difference methods

Journal of Computational Physics

A conservative phase field method for solving incompressible two-phase flows

Journal of Computational Physics

Optimization, resolution and application of composite compact finite difference templates

Applied Numerical Mathematics

Implicit Chebyshev spectral element method for acoustics wave equations

Finite Elements in Analysis and Design

Finite differences for coarse azimuthal discretization and for reduction of effective resolution near origin of cylindrical flow equations

Journal of Computational Physics

A high-order immersed boundary method for acoustic wave scattering and low-Mach number flow-induced sound in complex geometries

Journal of Computational Physics

Geometric conservation law and applications to high-order finite difference schemes with stationary grids

Journal of Computational Physics

Stabilized non-dissipative approximations of Euler equations in generalized curvilinear coordinates

Journal of Computational Physics

Artificial Boundary Conditions for High-Accuracy Aeroacoustic Algorithms

SIAM Journal on Scientific Computing

Development of Noncentered Wavenumber-Based Optimized Interpolation Schemes with Amplification Control for Overlapping Grids

SIAM Journal on Scientific Computing

A class of finite difference schemes with low dispersion and controllable dissipation for DNS of compressible turbulence

Journal of Computational Physics

DGM-FD: A finite difference scheme based on the discontinuous Galerkin method applied to wave propagation

Journal of Computational Physics

Optimal low-dispersion low-dissipation LBM schemes for computational aeroacoustics

Journal of Computational Physics

On the development of a high-order compact scheme for exhibiting the switching and dissipative solution natures in the Camassa-Holm equation

Journal of Computational Physics

Artificial boundary conditions for the numerical solution of the Euler equations by the discontinuous galerkin method

Journal of Computational Physics

A spectral FC solver for the compressible Navier-Stokes equations in general domains I: Explicit time-stepping

Journal of Computational Physics

Comparison of some optimisation techniques for numerical schemes discretising equations with advection terms

International Journal of Innovative Computing and Applications

An optimized spectral difference scheme for CAA problems

Journal of Computational Physics

Solution of the scalar wave equation over very long distances using nonlinear solitary waves: Relation to finite difference methods

Journal of Computational Physics

Sensitivity analysis and determination of free relaxation parameters for the weakly-compressible MRT-LBM schemes

Journal of Computational Physics

A dispersion minimizing finite difference scheme and preconditioned solver for the 3D Helmholtz equation

Journal of Computational Physics

Random particle methods applied to broadband fan interaction noise

Journal of Computational Physics

Fourth-order finite-difference time-domain method based on error-controlling concepts

International Journal of Numerical Modelling: Electronic Networks, Devices and Fields

Time-space domain dispersion-relation-based finite-difference method with arbitrary even-order accuracy for the 2D acoustic wave equation

Journal of Computational Physics

A low-dispersion and low-dissipation implicit Runge-Kutta scheme

Journal of Computational Physics

A dispersively accurate compact finite difference method for the Degasperis-Procesi equation

Journal of Computational Physics

A block interface flux reconstruction method for numerical simulation with high order finite difference scheme

Journal of Computational Physics

Quasi-disjoint pentadiagonal matrix systems for the parallelization of compact finite-difference schemes and filters

Journal of Computational Physics

Optimized explicit finite-difference schemes for spatial derivatives using maximum norm

Journal of Computational Physics

An Optimized Low-Dissipation Monotonicity-Preserving Scheme for Numerical Simulations of High-Speed Turbulent Flows

Journal of Scientific Computing

Spectral properties of high-order residual-based compact schemes for unsteady compressible flows

Journal of Computational Physics

Numerical investigation of the parabolic mixed derivative diffusion equation via Alternating Direction Implicit methods

Computers & Mathematics with Applications

The Nonconvergence of $$h$$h-Refinement in Prolate Elements

Journal of Scientific Computing

A two-dimensional fourth-order unstructured-meshed Euler solver based on the CESE method

Journal of Computational Physics

A Stability Criterion for Semi-Discrete Difference Schemes of Hyperbolic Conservation Laws on Uniform Grids

Journal of Scientific Computing

Hermitian Compact Interpolation on the Cubed-Sphere Grid

Journal of Scientific Computing

On the effective accuracy of spectral-like optimized finite-difference schemes for computational aeroacoustics

Journal of Computational Physics