Parallelization in time of numerical simulations of fully-developed plasma turbulence using the parareal algorithm

DOI10.1016/j.jcp.2010.05.012zbMath1425.76090OpenAlexW2020855741MaRDI QIDQ995272

D. E. Newman, D. Samaddar, Raúl Sánchez

Publication date: 13 September 2010

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10016/8911

zbMATH Keywords

magnetically confined plasmasplasma turbulenceparareal algorithmtime parallelizationturbulent transport

Mathematics Subject Classification ID

Related Items (23)

Explicit parallel-in-time integration of a linear acoustic-advection system ⋮ Convergence analysis of the parareal-Euler algorithm for systems of ODEs with complex eigenvalues ⋮ Time-parallel solutions to differential equations via functional optimization ⋮ An analytic model for the convergence of turbulent simulations time-parallelized via the parareal algorithm ⋮ Parallel in time approximation of the lattice Boltzmann method for laminar flows ⋮ A parareal method for time-fractional differential equations ⋮ Stochastic Parareal: An Application of Probabilistic Methods to Time-Parallelization ⋮ A parallel inverted dual time stepping method for unsteady incompressible fluid flow and heat transfer problems ⋮ Error Bound Analysis of the Stochastic Parareal Algorithm ⋮ GParareal: a time-parallel ODE solver using Gaussian process emulation ⋮ Communication-aware adaptive parareal with application to a nonlinear hyperbolic system of partial differential equations ⋮ Parareal computation of stochastic differential equations with time-scale separation: a numerical convergence study ⋮ Applications of time parallelization ⋮ Multigrid Reduction in Time for Chaotic Dynamical Systems ⋮ Supervised parallel-in-time algorithm for long-time Lagrangian simulations of stochastic dynamics: application to hydrodynamics ⋮ A stable parareal-like method for the second order wave equation ⋮ A stencil-based implementation of parareal in the C++ domain specific embedded language STELLA ⋮ An Exponential Time Integrator for the Incompressible Navier--Stokes Equation ⋮ Numerical simulation of skin transport using Parareal ⋮ Time-parallel simulation of the decay of homogeneous turbulence using Parareal with spatial coarsening ⋮ Time-parallel algorithm for two phase flows simulation ⋮ Parallel time-stepping for fluid–structure interactions ⋮ Stochastic Parareal: An Application of Probabilistic Methods to Time-Parallelization

Cites Work

• Unnamed Item
• Unnamed Item
• Towards developing robust algorithms for solving partial differential equations on MIMD machines
• Parallel algorithms for initial-value problems for difference and differential equations
• A parallel shooting technique for solving dissipative ODE's
• Parallel multiple shooting for the solution of initial value problems
• Résolution d'EDP par un schéma en temps «pararéel »
• Time-parallel implicit integrators for the near-real-time prediction of linear structural dynamic responses
• A Time-Stepping Algorithm for Parallel Computers
• Nonlinear Convergence Analysis for the Parareal Algorithm
• Modified propagators of parareal in time algorithm and application to Princeton Ocean model
• A time-parallel implicit method for accelerating the solution of non-linear structural dynamics problems
• Time-decomposed parallel time-integrators: theory and feasibility studies for fluid, structure, and fluid-structure applications
• A Parareal in Time Semi-implicit Approximation of the Navier-Stokes Equations
• Stability of the Parareal Algorithm
• A Convergent Algorithm for Time Parallelization Applied to Reservoir Simulation
• Parallel methods for integrating ordinary differential equations
• Parallel Methods for the Numerical Integration of Ordinary Differential Equations

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