A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows
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Publication:5042018
DOI10.4208/cicp.OA-2022-0064zbMath1500.65076OpenAlexW4312719207MaRDI QIDQ5042018
Publication date: 18 October 2022
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/cicp.oa-2022-0064
artificial compressibilityhigh-order accuracydirect discontinuous Galerkin methodvariable density incompressible flows
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
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Cites Work
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- A new fractional time-stepping method for variable density incompressible flows
- Error analysis of a new fractional-step method for the incompressible Navier-Stokes equations with variable density
- An artificial compressibility flux for the discontinuous Galerkin solution of the incompressible Navier--Stokes equations
- Gauge-Uzawa methods for incompressible flows with variable density
- An hybrid finite volume-finite element method for variable density incompressible flows
- A discontinuous Galerkin method based on a Taylor basis for the compressible flows on arbitrary grids
- An implicit high-order discontinuous Galerkin method for steady and unsteady incompressible flows
- A splitting method for incompressible flows with variable density based on a pressure Poisson equation
- Numerical simulations of the Rayleigh-Taylor instability
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Analysis and development of adjoint-based h-adaptive direct discontinuous Galerkin method for the compressible Navier-Stokes equations
- A direct discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids
- Extension of finite volume compressible flow solvers to multi-dimensional, variable density zero Mach number flows
- A high-order maximum-principle-satisfying discontinuous Galerkin method for the level set problem
- A reconstructed discontinuous Galerkin method for incompressible flows on arbitrary grids
- A direct discontinuous Galerkin method for the incompressible Navier-Stokes equations on arbitrary grids
- Discontinuous Galerkin solution of the Reynolds-averaged Navier-Stokes and \(k-\omega\) turbulence model equations
- A numerical method for solving incompressible viscous flow problems
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
- Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
- TVB Uniformly High-Order Schemes for Conservation Laws
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Local Discontinuous Galerkin Methods for the Stokes System
- A Parallel, High-Order Direct Discontinuous Galerkin Method for the Navier-Stokes Equations on 3D Hybrid Grids
- Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations
- The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections
- Adjoint Consistency Analysis of Discontinuous Galerkin Discretizations
- The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems
- Adaptive discontinuous Galerkin methods with shock‐capturing for the compressible Navier–Stokes equations
- Numerical Solution of the Navier-Stokes Equations
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
- A projection FEM for variable-density incompressible flows
