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== Abstract == | == Abstract == | ||
| − | An explicit time integrator without the <math> | + | An explicit time integrator without the CFL <math>< 1</math> restriction for the momentum equation is presented. This allows stable large time-steps in problems dominated by convection, independently of the spatial discretization. |
The idea is to use the information existing at time <math> t = t^n </math> in the velocity streamlines as well as in the acceleration streamlines to update the particle position as well as the velocity in an updated Lagrangian frame. The method may be used with moving or fixed meshes. | The idea is to use the information existing at time <math> t = t^n </math> in the velocity streamlines as well as in the acceleration streamlines to update the particle position as well as the velocity in an updated Lagrangian frame. The method may be used with moving or fixed meshes. | ||
Latest revision as of 12:40, 1 February 2019
Published in Computer Methods in Applied Mechanics and Engineering Vol. 217-220, pp. 168-185, 2012
doi: 10.1016/j.cma.2011.12.008
Abstract
An explicit time integrator without the CFL restriction for the momentum equation is presented. This allows stable large time-steps in problems dominated by convection, independently of the spatial discretization.
The idea is to use the information existing at time in the velocity streamlines as well as in the acceleration streamlines to update the particle position as well as the velocity in an updated Lagrangian frame. The method may be used with moving or fixed meshes.
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Published on 01/01/2012
DOI: 10.1016/j.cma.2011.12.008
Licence: CC BY-NC-SA license
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