Dynamically regularized Lagrange multiplier schemes with energy dissipation for the incompressible Navier-Stokes equations
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Publication:6670728
DOI10.1016/j.jcp.2024.113550MaRDI QIDQ6670728
Cao-Kha Doan, Thi-Thao-Phuong Hoang, Rihui Lan, Lili Ju
Publication date: 24 January 2025
Published in: Journal of Computational Physics (Search for Journal in Brave)
Lagrange multiplierincompressible Navier-Stokes equationsenergy stabilitymarker-and-cell methoddynamic regularization
Cites Work
- Accurate three-dimensional lid-driven cavity flow
- A pseudospectral method for solution of the three-dimensional incompressible Navier-Stoke equations
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- The scalar auxiliary variable (SAV) approach for gradient flows
- A vorticity-velocity method for the numerical solution of 3D incompressible flows
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- A second order accurate scalar auxiliary variable (SAV) numerical method for the square phase field crystal equation
- Original variables based energy-stable time-dependent auxiliary variable method for the incompressible Navier-Stokes equation
- Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation
- A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows
- A new Lagrange multiplier approach for gradient flows
- On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem
- Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable
- An interior penalty discontinuous Galerkin approach for 3D incompressible Navier-Stokes equation for permeability estimation of porous media
- Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model
- An overview of projection methods for incompressible flows
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
- Gauge method for viscous incompressible flows
- Gauge finite element method for incompressible flows
- Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation
- Numerical solution of saddle point problems
- Convergence of gauge method for incompressible flow
- A 3D incompressible Navier-Stokes velocity-vorticity weak form finite element algorithm
- Superconvergence of Characteristics Marker and Cell Scheme for the Navier--Stokes Equations on Nonuniform Grids
- Error estimates for semi-discrete gauge methods for the Navier-Stokes equations
- On a new way of writing the Navier-Stokes equation. The Hamiltonian formalism
- On the error estimates for the rotational pressure-correction projection methods
- Projection Method I: Convergence and Numerical Boundary Layers
- A Variable Stepsize, Variable Order Family of Low Complexity
- New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis
- Optimal error estimates of a Crank–Nicolson finite element projection method for magnetohydrodynamic equations
- Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations
- Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation
- Exponential Time Differencing Gauge Method for Incompressible Viscous Flows
- Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- Block-Diagonal and Constraint Preconditioners for Nonsymmetric Indefinite Linear Systems. Part I: Theory
- Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
- Numerical Solution of the Navier-Stokes Equations
- An efficient and robust Lagrange multiplier approach with a penalty term for phase-field models
- A unified \(L^2\) norm error analysis of SAV-BDF schemes for the incompressible Navier-Stokes equations
- A second order numerical scheme of the Cahn-Hilliard-Navier-Stokes system with Flory-Huggins potential
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