Analysis of variable-step/non-autonomous artificial compression methods

DOI10.1007/s00021-019-0429-2zbMath1411.76117arXiv1809.04650OpenAlexW3101489649WikidataQ128044920 ScholiaQ128044920MaRDI QIDQ2633299

M. McLaughlin, Robin Ming Chen, William J. Layton

Publication date: 8 May 2019

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.04650

Mathematics Subject Classification ID

Related Items (13)

Analysis of a new adaptive time filter algorithm for the unsteady Stokes/Darcy model ⋮ Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow ⋮ A second order ensemble method with different subdomain time steps for simulating coupled surface‐groundwater flows ⋮ Time filters and spurious acoustics in artificial compression methods ⋮ An adaptive time-stepping DLN decoupled algorithm for the coupled Stokes-Darcy model ⋮ Artificial compressibility SAV ensemble algorithms for the incompressible Navier-Stokes equations ⋮ Doubly-adaptive artificial compression methods for incompressible flow ⋮ An Artificial Compressibility Crank--Nicolson Leap-Frog Method for the Stokes--Darcy Model and Application in Ensemble Simulations ⋮ A variable time-stepping algorithm for the unsteady Stokes/Darcy model ⋮ From quasi-incompressible to semi-compressible fluids ⋮ A high-order artificial compressibility method based on Taylor series time-stepping for variable density flow ⋮ Three linear, unconditionally stable, second order decoupling methods for the Allen-Cahn-Navier-Stokes phase field model ⋮ Fast and accurate artificial compressibility ensemble algorithms for computing parameterized Stokes-Darcy flow ensembles

Uses Software

• FEniCS

Cites Work

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• High-order time stepping for the Navier-Stokes equations with minimal computational complexity
• Topics in hypersonic flow theory.
• Artificial compressibility method revisited: asymptotic numerical method for incompressible Navier-Stokes equations
• Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
• A parametrix construction for wave equations with \(C^{1,1}\) coefficients
• On the zero-stability of multistep methods on smooth nonuniform grids
• A pseudo-compressible variational multiscale solver for turbulent incompressible flows
• Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term
• Generalized Strichartz inequalities for the wave equation
• On a new pseudocompressibility method for the incompressible Navier-Stokes equations
• A conservative, second order, unconditionally stable artificial compression method
• An overview of projection methods for incompressible flows
• On conservation laws of Navier-Stokes Galerkin discretizations
• Mathematical and numerical foundations of turbulence models and applications
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. I
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
• Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients, II
• Strichartz estimates for second order hyperbolic operators with nonsmooth coefficients III
• WEAK SOLUTIONS OF NAVIER–STOKES EQUATIONS CONSTRUCTED BY ARTIFICIAL COMPRESSIBILITY METHOD ARE SUITABLE
• Leray weak solutions of the incompressible Navier Stokes system on exterior domains via the artificial compressibility method
• High-Order Time Stepping for the Incompressible Navier--Stokes Equations
• A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow
• On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
• Local Smoothing of Fourier Integral Operators and Carleson-Sjolin Estimates
• Endpoint Strichartz estimates
• Space‐time estimates for null forms and the local existence theorem
• Symmetric approximations of the Navier-Stokes equations
• On the construction of suitable weak solutions to the 3D Navier–Stokes equations in a bounded domain by an artificial compressibility method
• Newton polygons as lattice points
• A DISPERSIVE APPROACH TO THE ARTIFICIAL COMPRESSIBILITY APPROXIMATIONS OF THE NAVIER–STOKES EQUATIONS IN 3D
• On the Convergence of Discrete Approximations to the Navier-Stokes Equations
• Numerical Solution of the Navier-Stokes Equations

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