This paper compares the performance of two optimized high-order finite-difference schemes with Runge-Kutta time integration. The theory suggests the superiority of the space- and time-optimization schemes in comparison to their classical counterparts. Numerical tests are reported for one-dimensional linear advection. Copyright © 2009 by the American Institute of Aeronautics and Astronautics, Inc
A new explicit fourth-order six-stage Runge-Kutta scheme with low dispersion and low dissipation pro...
The simulation of aeroacoustic problems sets demanding requirements on numerical methods, particular...
A new family of prefactored cost-optimized schemes is developed to minimize the computational cost f...
The performances of high-order, highly efficient finite difference schemes with Runge-Kutta time int...
A variety of aeroacoustic problems involve small-amplitude linear wave propagation. Highorder scheme...
In this paper, we have combined some spatial derivatives with the optimised time derivative proposed...
Direct numerical simulations and computational aeroacoustics require an accurate finite difference s...
In computational acoustics, fluid-acoustic coupling methods for the computation of sound have been w...
Two families of finite difference algorithms for computational aeroacoustics are presented and compa...
A family of space- and time-optimised prefactored compact schemes are developed that minimize the co...
A set of explicit finite difference schemes with large stencil was optimized to obtain maximum resol...
In order to optimize the time step determination in aeroacoustic simulations, the impact of element ...
The numerical simulation of aeroacoustic phenomena requires high-order accurate numerical schemes wi...
In computational aeroacoustics (CAA) simulations, discontinuous Galerkin space dis-cretization (DG) ...
In many realistic calculations, the computational grid spacing required to resolve the mean flow gra...
A new explicit fourth-order six-stage Runge-Kutta scheme with low dispersion and low dissipation pro...
The simulation of aeroacoustic problems sets demanding requirements on numerical methods, particular...
A new family of prefactored cost-optimized schemes is developed to minimize the computational cost f...
The performances of high-order, highly efficient finite difference schemes with Runge-Kutta time int...
A variety of aeroacoustic problems involve small-amplitude linear wave propagation. Highorder scheme...
In this paper, we have combined some spatial derivatives with the optimised time derivative proposed...
Direct numerical simulations and computational aeroacoustics require an accurate finite difference s...
In computational acoustics, fluid-acoustic coupling methods for the computation of sound have been w...
Two families of finite difference algorithms for computational aeroacoustics are presented and compa...
A family of space- and time-optimised prefactored compact schemes are developed that minimize the co...
A set of explicit finite difference schemes with large stencil was optimized to obtain maximum resol...
In order to optimize the time step determination in aeroacoustic simulations, the impact of element ...
The numerical simulation of aeroacoustic phenomena requires high-order accurate numerical schemes wi...
In computational aeroacoustics (CAA) simulations, discontinuous Galerkin space dis-cretization (DG) ...
In many realistic calculations, the computational grid spacing required to resolve the mean flow gra...
A new explicit fourth-order six-stage Runge-Kutta scheme with low dispersion and low dissipation pro...
The simulation of aeroacoustic problems sets demanding requirements on numerical methods, particular...
A new family of prefactored cost-optimized schemes is developed to minimize the computational cost f...