AN EXPONENTIAL TIME INTEGRATOR FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATION

作者：Kooij Gijs L^*; Botchev Mike A; Geurts Bernard J

来源：SIAM Journal on Scientific Computing, 2018, 40(3): B684-+.

DOI：10.1137/17M1121950

• exponential time integration
• incompressible Navier-Stokes equation
• block Krylov subspace method
• parallel in time

We present an exponential time integration method for the incompressible Navier-Stokes equation. An essential step in our procedure is the treatment of the pressure by applying a divergence-free projection to the momentum equation. The differential-algebraic equation for the discrete velocity and pressure is then reduced to a conventional ordinary differential equation that can be solved with the proposed exponential integrator. A promising feature of exponential time integration is its potential time parallelism within the Paraexp algorithm. We demonstrate that our approach leads to parallel speedup assuming negligible parallel communication.

• 出版日期2018