A second order multirate scheme for the evolutionary Stokes-Darcy model
DOI10.1016/j.apnum.2021.08.004zbMath1501.65067OpenAlexW3195216883MaRDI QIDQ822193
Publication date: 21 September 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2021.08.004
finite element methodsbackward differentiation formulalong-time stabilitycoupled Stokes-Darcymultiratetime partitioned methods
Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Uses Software
Cites Work
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- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- An efficient and long-time accurate third-order algorithm for the Stokes-Darcy system
- A multiple-time-step technique for coupled free flow and porous medium systems
- Long time stability of four methods for splitting the evolutionary Stokes-Darcy problem into Stokes and Darcy subproblems
- Stability of two IMEX methods, CNLF and BDF2-AB2, for uncoupling systems of evolution equations
- Multirate extrapolation methods for differential equations with different time scales
- Multirate generalized additive Runge Kutta methods
- Multirate linear multistep methods
- Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
- A strongly conservative finite element method for the coupling of Stokes and Darcy flow
- Stability properties of backward differentiation multirate formulas
- Stability of a multi-rate method for numerical integration of ODE's
- A numerical solution of the Navier-Stokes equations using the finite element technique
- Multirate ROW methods and latency of electric circuits
- A stabilized finite volume element method for a coupled Stokes-Darcy problem
- A multirate W-method for electrical networks in state-space formulation
- Mathematical and numerical models for coupling surface and groundwater flows
- A decoupled finite element method with diferent time steps for the nonstationary Darcy-Brinkman problem
- A posteriori error analysis of the fully discretized time-dependent coupled Darcy and Stokes equations
- Error estimates of the partitioned time stepping method for the evolutionary Stokes-Darcy flows
- Adaptive partitioned methods for the time-accurate approximation of the evolutionary Stokes-Darcy system
- A second-order fractional time-stepping method for a coupled Stokes/Darcy system
- A computational method for approximating a Darcy-Stokes system governing a vuggy porous medium
- Robust numerical approximation of coupled Stokes' and Darcy's flows applied to vascular hemodynamics and biochemical transport
- Uncoupling evolutionary groundwater-surface water flows using the Crank-Nicolson Leapfrog method
- Efficient and Long-Time Accurate Second-Order Methods for the Stokes--Darcy System
- A fluid-fluid interaction method using decoupled subproblems and differing time steps
- Finite Element Approximations for Stokes–Darcy Flow with Beavers–Joseph Interface Conditions
- Multirate Undrained Splitting for Coupled Flow and Geomechanics in Porous Media
- On the Boundary Condition at the Surface of a Porous Medium
- Split Runge-Kutta method for simultaneous equations
- Decoupled schemes for a non-stationary mixed Stokes-Darcy model
- Unified finite element discretizations of coupled Darcy-Stokes flow
- On The Interface Boundary Condition of Beavers, Joseph, and Saffman
- A second‐order partitioned method with different subdomain time steps for the evolutionary Stokes‐Darcy system
- Locally Conservative Coupling of Stokes and Darcy Flows
- A decoupling method with different subdomain time steps for the nonstationary stokes–darcy model
- Analysis of Long Time Stability and Errors of Two Partitioned Methods for Uncoupling Evolutionary Groundwater--Surface Water Flows
- Stokes–Darcy system, small-Darcy-number behaviour and related interfacial conditions
- Inter/Extrapolation-Based Multirate Schemes: A Dynamic-Iteration Perspective
- An Artificial Compressibility Crank--Nicolson Leap-Frog Method for the Stokes--Darcy Model and Application in Ensemble Simulations
- AMultirateApproachforFluid-StructureInteraction Computation with Decoupled Methods
- Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems
- A lowest-order staggered DG method for the coupled Stokes–Darcy problem
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