Boundary conditions for open boundaries for the incompressible Navier-Stokes equation
Journal of Computational Physics
A nonreflecting outlet boundary condition for incompressible unsteady Navier-Stokes calculations
Journal of Computational Physics
Numerical solution of problems on unbounded domains. a review
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
Spatial development of wakes using a spectral multi-domain method
Proceedings of the fourth international conference on Spectral and high order methods (ICOSAHOM 1998)
Numerical Treatment of Defective Boundary Conditions for the Navier--Stokes Equations
SIAM Journal on Numerical Analysis
Velocity-Correction Projection Methods for Incompressible Flows
SIAM Journal on Numerical Analysis
SIAM Journal on Numerical Analysis
On the outflow boundary condition for external incompressible flows: A new approach
Journal of Computational Physics
Well-Posed Boundary Conditions for the Navier--Stokes Equations
SIAM Journal on Numerical Analysis
Journal of Computational Physics
Open and traction boundary conditions for the incompressible Navier-Stokes equations
Journal of Computational Physics
BDF-like methods for nonlinear dynamic analysis
Journal of Computational Physics
An unconditionally stable rotational velocity-correction scheme for incompressible flows
Journal of Computational Physics
Improvements on open and traction boundary conditions for Navier-Stokes time-splitting methods
Journal of Computational Physics
An eigen-based high-order expansion basis for structured spectral elements
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.45 |
We present a robust and accurate outflow boundary condition and an associated numerical algorithm for incompressible flow simulations on unbounded physical domains, aiming at maximizing the domain truncation without adversely affecting the flow physics. The proposed outflow boundary condition allows for the influx of kinetic energy into the domain through the outflow boundaries, and prevents un-controlled growth in the energy of the domain in such situations. The numerical algorithm for the outflow boundary condition is developed on top of a rotational velocity-correction type strategy to de-couple the pressure and velocity computations, and a special construction in the algorithmic formulation prevents the numerical locking at the outflow boundaries for time-dependent problems. Extensive numerical tests for flow problems with bounded and semi-bounded physical domains demonstrate that this outflow boundary condition and the numerical algorithm produce stable and accurate simulations on even severely truncated computational domains, where strong vortices may be present at or exit the outflow boundaries. The method developed herein has the potential to significantly expedite simulations of incompressible flows involving outflow or open boundaries, and to enable such simulations at Reynolds numbers significantly higher than the state of the art.