Time-parallel simulation of the decay of homogeneous turbulence using Parareal with spatial coarsening

• Published in: Computing and visualization in science Vol. 19; no. 1-2; pp. 31 - 44
• Main Authors: Lunet, Thibaut, Bodart, Julien, Gratton, Serge, Vasseur, Xavier
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2018; Springer Nature B.V; Springer Verlag
• Series: Special Issue Parallel-in-Time Methods
• Subjects: Algorithms; Calculus of Variations and Optimal Control; Optimization; Coarsening; Computational fluid dynamics; Computational Mathematics and Numerical Analysis; Computer Applications in Chemistry; Computer simulation; Decay; Direct numerical simulation; Engineering Sciences; Error analysis; Homogeneous turbulence; Integrators; Isotropic turbulence; Iterative methods; Mathematics; Mathematics and Statistics; Navier-Stokes equations; Numerical Analysis; Other; Simulation; Special Issue Parallel-in-Time Methods; Turbulent flow; Visualization; Space–time parallelism; Navier–Stokes equations; Direct numerical simulation; High-order method in space; Explicit time integrator; Direct Numerical Simulation

Direct Numerical Simulation of turbulent flows is a computationally demanding problem that requires efficient parallel algorithms. We investigate the applicability of the time-parallel Parareal algorithm to an instructional case study related to the simulation of the decay of homogeneous isotropic t...