A shifted boundary method for the compressible Euler equations
From MaRDI portal
Publication:6648433
DOI10.1016/j.jcp.2024.113512MaRDI QIDQ6648433
Guglielmo Scovazzi, Xianyi Zeng, Ting Song
Publication date: 4 December 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
finite element methodEuler equationscompressible flowexplicit time integrationshifted boundary method
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial-boundary value problems for first-order hyperbolic equations (35L04) Fictitious domain methods for initial value and initial-boundary value problems involving PDEs (65M85)
Cites Work
- A systematic approach for constructing higher-order immersed boundary and ghost fluid methods for fluid-structure interaction problems
- Subdivision-stabilised immersed b-spline finite elements for moving boundary flows
- Implementation of the entropy viscosity method with the discontinuous Galerkin method
- Entropy viscosity method for nonlinear conservation laws
- Ghost penalty
- A Cartesian embedded boundary method for the compressible Navier-Stokes equations
- A conservative nodal variational multiscale method for Lagrangian shock hydrodynamics
- The shifted boundary method for hyperbolic systems: embedded domain computations of linear waves and shallow water flows
- Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations
- An evaluation of the FCT method for high-speed flows on structured overlapping grids
- Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
- Application of conservative residual distribution schemes to the solution of the shallow water equations on unstructured meshes
- A high-resolution Godunov method for compressible multi-material flow on overlapping grids
- The finite cell method for three-dimensional problems of solid mechanics
- Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
- A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
- The numerical simulation of two-dimensional fluid flow with strong shocks
- A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
- A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Numerical analysis of blood flow in the heart
- The variational multiscale method -- a paradigm for computational mechanics
- Large-eddy simulation of the shock/turbulence interaction
- A ghost-cell immersed boundary method for flow in complex geometry.
- Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations
- An enhanced FIVER method for multi-material flow problems with second-order convergence rate
- Efficient implementation of weighted ENO schemes
- A reduced basis approach for PDEs on parametrized geometries based on the shifted boundary finite element method and application to a Stokes flow
- The shifted boundary method for embedded domain computations. I: Poisson and Stokes problems
- The shifted boundary method for embedded domain computations. II: Linear advection-diffusion and incompressible Navier-Stokes equations
- A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations
- The second-generation shifted boundary method and its numerical analysis
- High order discontinuous cut finite element methods for linear hyperbolic conservation laws with an interface
- Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes
- The high-order shifted boundary method and its analysis
- A moving embedded boundary approach for the compressible Navier-Stokes equations in a block-structured adaptive refinement framework
- An implicit boundary approach for viscous compressible high Reynolds flows using a hybrid remeshed particle hydrodynamics method
- A variational multiscale finite element method for monolithic ALE computations of shock hydrodynamics using nodal elements
- Stabilized shock hydrodynamics. I: A Lagrangian method
- Stabilized shock hydrodynamics. II: Design and physical interpretation of the SUPG operator for Lagrangian computations
- A discourse on Galilean invariance, SUPG stabilization, and the variational multiscale framework
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- High-order accurate implementation of solid wall boundary conditions in curved geometries
- A Cartesian grid embedded boundary method for hyperbolic conservation laws
- A Nitsche method for wave propagation problems in time domain
- Weighted extended B-spline approximation of Dirichlet problems
- A simple, stable, and accurate linear tetrahedral finite element for transient, nearly, and fully incompressible solid dynamics: a dynamic variational multiscale approach
- A generalized view on Galilean invariance in stabilized compressible flow computations
- The immersed boundary method
- Implicit boundary method for finite element analysis using non-conforming mesh or grid
- Riemann Solvers and Numerical Methods for Fluid Dynamics
- On the Convergence of Shock-Capturing Streamline Diffusion Finite Element Methods for Hyperbolic Conservation Laws
- Difference Approximations for the Second Order Wave Equation
- Finite Element Methods with B-Splines
- A fixed‐grid b‐spline finite element technique for fluid–structure interaction
- A Reduced Order Approach for the Embedded Shifted Boundary FEM and a Heat Exchange System on Parametrized Geometries
- Analysis of the shifted boundary method for the Poisson problem in domains with corners
- Galilean invariance and stabilized methods for compressible flows
- A Cartesian cut cell method for incompressible viscous flow
- A penalty-free shifted boundary method of arbitrary order
- The shifted interface method: a flexible approach to embedded interface computations
- Nonlinear elasticity with the shifted boundary method
- The shifted boundary method for solid mechanics
- The shifted boundary method in isogeometric analysis
This page was built for publication: A shifted boundary method for the compressible Euler equations