Dispersion-relation-preserving finite difference schemes for computational acoustics
Journal of Computational Physics
A perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics
Journal of Computational Physics
On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer
Journal of Computational Physics
Absorbing PML boundary layers for wave-like equations
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
The Perfectly Matched Layer in Curvilinear Coordinates
SIAM Journal on Scientific Computing
Well-posed perfectly matched layers for advective acoustics
Journal of Computational Physics
A Stable, perfectly matched layer for linearized Euler equations in unslit physical variables
Journal of Computational Physics
Stability of perfectly matched layers, group velocities and anisotropic waves
Journal of Computational Physics
Perfectly Matched Layers for the Convected Helmholtz Equation
SIAM Journal on Numerical Analysis
Journal of Computational Physics
A new approach to perfectly matched layers for the linearized Euler system
Journal of Computational Physics
A PML-based nonreflective boundary for free surface fluid animation
ACM Transactions on Graphics (TOG)
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Analysis and optimization of numerical sponge layers as a nonreflective boundary treatment
Journal of Computational Physics
Open boundary conditions for the Diffuse Interface Model in 1-D
Journal of Computational Physics
Hi-index | 31.47 |
Absorbing boundary conditions for the nonlinear Euler and Navier-Stokes equations in three space dimensions are presented based on the perfectly matched layer (PML) technique. The derivation of equations follows a three-step method recently developed for the PML of linearized Euler equations. To increase the efficiency of the PML, a pseudo mean flow is introduced in the formulation of absorption equations. The proposed PML equations will absorb exponentially the difference between the nonlinear fluctuation and the prescribed pseudo mean flow. With the nonlinearity in flux vectors, the proposed nonlinear absorbing equations are not formally perfectly matched to the governing equations as their linear counter-parts are. However, numerical examples show satisfactory results. Furthermore, the nonlinear PML reduces automatically to the linear PML upon linearization about the pseudo mean flow. The validity and efficiency of proposed equations as absorbing boundary conditions for nonlinear Euler and Navier-Stokes equations are demonstrated by numerical examples.