Abstract
We outline a new class of robust and efficient methods for solving the Navier- Stokes equations. We describe a general solution strategy that has two basic building blocks: an implicit time integrator using a stabilized trapezoid rule with an explicit Adams-Bashforth method for error control, and a robust Krylov subspace solver for the spatially discretized system. We present numerical experiments illustrating the potential of our approach. © 2010 Society for Industrial and Applied Mathematics.
Original language | English |
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Pages (from-to) | 111-128 |
Number of pages | 17 |
Journal | SIAM Journal on Scientific Computing |
Volume | 32 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2010 |
Keywords
- Adaptivity
- Fast solvers
- Navier-stokes
- Preconditioning
- Time-stepping