Algorithms for coupled problems that preserve symmetries and the laws of thermodynamics. II: Fractional step methods
From MaRDI portal
Publication:658836
DOI10.1016/j.cma.2010.03.016zbMath1231.74472OpenAlexW2574499756WikidataQ115063537 ScholiaQ115063537MaRDI QIDQ658836
Publication date: 8 February 2012
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2010.03.016
Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05) Finite difference methods applied to problems in solid mechanics (74S20)
Related Items
An unconditionally energy-stable method for the phase field crystal equation ⋮ A minimizing-movements approach to GENERIC systems ⋮ A general framework to derive linear, decoupled and energy-stable schemes for reversible-irreversible thermodynamically consistent models ⋮ Energy-entropy-momentum integration of discrete thermo-visco-elastic dynamics ⋮ An analysis of the stress formula for energy-momentum methods in nonlinear elastodynamics ⋮ An energy‐entropy‐consistent time stepping scheme for nonlinear thermo‐viscoelastic continua ⋮ Heat equations beyond Fourier: from heat waves to thermal metamaterials ⋮ Structure-preserving integrators for dissipative systems based on reversible– irreversible splitting ⋮ A new space-time discretization for the Swift-Hohenberg equation that strictly respects the Lyapunov functional ⋮ Galerkin-based energy-momentum consistent time-stepping algorithms for classical nonlinear thermo-elastodynamics ⋮ Energy and entropy preserving numerical approximations of thermodynamically consistent crystal growth models ⋮ Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models ⋮ Energy-consistent time integration for nonlinear viscoelasticity ⋮ A thermodynamically consistent numerical method for a phase field model of solidification ⋮ Two structure-preserving time discretizations for gradient flows
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Algorithms for coupled problems that preserve symmetries and the laws of thermodynamics: part I: Monolithic integrators and their application to finite strain thermoelasticity
- Energy-momentum conserving integration of multibody dynamics
- Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
- Long-term dissipativity of time-stepping algorithms for an abstract evolution equation with applications to the incompressible MHD and Navier-Stokes equations
- Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
- Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations
- Mechanical integrators derived from a discrete variational principle
- Time integration and discrete Hamiltonian systems
- Variational time integrators
- Simulating Hamiltonian Dynamics
- Thermodynamically consistent time-stepping algorithms for non-linear thermomechanical systems
- A new unconditionally stable fractional step method for non‐linear coupled thermomechanical problems
- An objective finite element approximation of the kinematics of geometrically exact rods and its use in the formulation of an energy-momentum conserving scheme in dynamics
- Stable and time‐dissipative finite element methods for the incompressible Navier–Stokes equations in advection dominated flows
