Efficient energy stable schemes for incompressible flows with variable density

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

A new fractional time-stepping method for variable density incompressible flows
A high-order projection method for tracking fluid interfaces in variable density incompressible flows
Finite difference schemes for incompressible flow based on local pressure boundary conditions
A conservative finite element method for the incompressible Euler equations with variable density
Error analysis of a new fractional-step method for the incompressible Navier-Stokes equations with variable density
Gauge-Uzawa methods for incompressible flows with variable density
An hybrid finite volume-finite element method for variable density incompressible flows
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Numerical simulations of the Rayleigh-Taylor instability
A second-order projection method for variable-density flows
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A new class of truly consistent splitting schemes for incompressible flows
The scalar auxiliary variable (SAV) approach for gradient flows
Filtered time-stepping method for incompressible Navier-Stokes equations with variable density
A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density
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A new class of higher-order decoupled schemes for the incompressible Navier-Stokes equations and applications to rotating dynamics
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An overview of projection methods for incompressible flows
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Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations
A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
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A projection FEM for variable-density incompressible flows
A high-order residual-based viscosity finite element method for incompressible variable density flow

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