High order time integration and mesh adaptation with error control for incompressible Navier-Stokes and scalar transport resolution on dual grids

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:387

Article; Proceedings Paper

N'guessan, Marc-Arthur¹  Massot, Marc¹  Series, Laurent¹  Tenaud, Christian² 

[1] Ecole Polytech, CMAP, Route Saclay, F-91128 Palaiseau, France

[2] Univ Paris Saclay, CNRS, LIMSI, Batiment 508,Rue John Von Neumann, F-91403 Orsay, France

关键词: Incompressible Navier-Stokes;    High order implicit Runge Kutta;    Multiresolution analysis;    Dynamic mesh adaptation;    Scalar transport;    Dual grid with error control;   

DOI  :  10.1016/j.cam.2019.112542

来源: Elsevier

【 摘 要 】

Relying on a building block developed by the authors in order to resolve the incompressible Navier-Stokes equation with high order implicit time stepping and dynamic mesh adaptation based on multiresolution analysis with collocated variables, the present contribution investigates the ability to extend such a strategy for scalar transport at relatively large Schmidt numbers using a finer level of refinement compared to the resolution of the hydrodynamic variables, while preserving space adaptation with error control. This building block is a key part of a strategy to construct a low-Mach number code based on a splitting strategy for combustion applications, where several spatial scales are into play. The computational efficiency and accuracy of the proposed strategy is assessed on a well-chosen three-vortex simulation. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free