Energy-conserving Runge-Kutta methods for the incompressible Navier-Stokes equations
From MaRDI portal
Publication:2449728
DOI10.1016/j.jcp.2012.07.039zbMath1286.76034OpenAlexW2073685945MaRDI QIDQ2449728
Publication date: 12 May 2014
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2012.07.039
incompressible Navier-Stokes equationsdifferential-algebraic equationsRunge-Kutta methodenergy conservationstiffnesstime reversibility\(L\)-stabilityalgebraic stabilityadditive Runge-Kutta method
Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Related Items
Non-linearly stable reduced-order models for incompressible flow with energy-conserving finite volume methods, An energy-stable scheme for incompressible Navier-Stokes equations with periodically updated coefficient matrix, A mass-, kinetic energy- and helicity-conserving mimetic dual-field discretization for three-dimensional incompressible Navier-Stokes equations. I: Periodic domains, Energy preserving turbulent simulations at a reduced computational cost, Conservative polytopal mimetic discretization of the incompressible Navier-Stokes equations, Approximation of the convective flux in the incompressible Navier-Stokes equations using local boundary-value problems, A high-resolution code for large eddy simulation of incompressible turbulent boundary layer flows, Fast Solution of Fully Implicit Runge--Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part II: Nonlinearities and DAEs, A simple approach to discretize the viscous term with spatially varying (eddy-)viscosity, Symmetry-preserving discretization of Navier-Stokes equations on collocated unstructured grids, Isotropic finite volume discretization, Hp-adaptive time integration based on the BDF for viscous flows, An efficient time advancing strategy for energy-preserving simulations, A New Discretization Method for the Convective Terms in the Incompressible Navier-Stokes Equations, A novel scheme for Liouville's equation with a discontinuous Hamiltonian and applications to geometrical optics, Energy-conserving formulation of the two-fluid model for incompressible two-phase flow in channels and pipes, On the choice of a method for integrating the equations of motion of a set of fluid particles, A gPAV-based unconditionally energy-stable scheme for incompressible flows with outflow/open boundaries, No pressure? Energy-consistent ROMs for the incompressible Navier-Stokes equations with time-dependent boundary conditions, A family of energy stable, skew-symmetric finite difference schemes on collocated grids. A simple way to avoid odd-even decoupling, Temporal accuracy of FastRK3, Global spectral analysis: review of numerical methods, Energy-conserving hyper-reduction and temporal localization for reduced order models of the incompressible Navier-Stokes equations, Explicit Runge-Kutta schemes for incompressible flow with improved energy-conservation properties, A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations, Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable, A low-dissipation finite element scheme for scale resolving simulations of turbulent flows, A unified approach to monolithic solid-fluid coupling of sub-grid and more resolved solids, A general condition for kinetic-energy preserving discretization of flow transport equations, High order time integration and mesh adaptation with error control for incompressible Navier-Stokes and scalar transport resolution on dual grids, Supraconservative Finite-Volume Methods for the Euler Equations of Subsonic Compressible Flow, Comparison of artificial-dissipation and solution-filtering stabilization schemes for time-accurate simulations, Analysis of velocity-components decoupled projection method for the incompressible Navier-Stokes equations, Boundary treatment for fourth-order staggered mesh discretizations of the incompressible Navier-Stokes equations, A Sub-cell Discretization Method for the Convective Terms in the Incompressible Navier-Stokes Equations, A conservative finite element method for the incompressible Euler equations with variable density, A novel solution method for unsteady incompressible Euler flow using the vorticity-Bernoulli-pressure formulation