Hp-adaptive time integration based on the BDF for viscous flows

DOI10.1016/j.jcp.2015.03.022zbMath1349.76217OpenAlexW2095392846MaRDI QIDQ349821

André Garon, Alexander Hay, Stéphane Etienne, Dominique Pelletier

Publication date: 5 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.03.022

zbMATH Keywords

time integrationNavier-Stokesbackward differentiation formulasorder and stepsize selectiontime adaptivity

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (14)

A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD ⋮ Time-integration for ALE simulations of fluid-structure interaction problems: stepsize and order selection based on the BDF ⋮ On the application of higher-order backward difference (BDF) methods for computing turbulent flows ⋮ Adaptive partitioned methods for the time-accurate approximation of the evolutionary Stokes-Darcy system ⋮ ModalPINN: an extension of physics-informed neural networks with enforced truncated Fourier decomposition for periodic flow reconstruction using a limited number of imperfect sensors ⋮ Analysis of a Filtered Time-Stepping Finite Element Method for Natural Convection Problems ⋮ Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow ⋮ A parallel and adaptative Nitsche immersed boundary method to simulate viscous mixing ⋮ Doubly-adaptive artificial compression methods for incompressible flow ⋮ Adaptive time-step control for nonlinear fluid-structure interaction ⋮ Adaptive time steps for compressible flows based on dual-time stepping and a RK/implicit smoother ⋮ Vortex-induced vibrations: a soft coral feeding strategy? ⋮ A Variable Stepsize, Variable Order Family of Low Complexity ⋮ Variable-step deferred correction methods based on backward differentiation formulae for ordinary differential equations

Uses Software

• PARDISO
• DASSL
• RODAS
• DIFSUB

Cites Work

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• Adaptive time step control for the incompressible Navier-Stokes equations
• Stability of multistep-methods on variable grids
• Perspective on the geometric conservation law and finite element methods for ALE simulations of incompressible flow
• A PI stepsize control for the numerical solution of ordinary differential equations
• An analysis of the time integration algorithms for the finite element solutions of incompressible Navier--Stokes equations based on a stabilised formulation.
• Higher-order time integration schemes for the unsteady Navier-Stokes equations on unstructured meshes.
• A generalized-\(\alpha\) method for integrating the filtered Navier-Stokes equations with a stabilized finite element method
• High-order temporal accuracy for 3D finite-element ALE flow simulations
• Energy-conserving Runge-Kutta methods for the incompressible Navier-Stokes equations
• Adaptive Time-Stepping for Incompressible Flow Part II: Navier–Stokes Equations
• Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder
• An Alternative Implementation of Variable Step-Size Multistep Formulas for Stiff ODEs
• A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations
• The control of order and steplength for backward differentiation methods
• Control-theoretic techniques for stepsize selection in implicit Runge-Kutta methods
• High‐order implicit time integration for unsteady incompressible flows
• A study of time integration schemes for the numerical modelling of free surface flows
• A Test for Instability in the Numerical Solution of Ordinary Differential Equations
• The automatic integration of ordinary differential equations

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