A stabilized Powell-Sabin finite-element method for the 2D Euler equations in supersonic regime
From MaRDI portal
Publication:1986295
DOI10.1016/j.cma.2018.05.032zbMath1440.76065OpenAlexW2784088225MaRDI QIDQ1986295
Hervé Guillard, Giorgio Giorgiani, Éric Serre, Boniface Nkonga
Publication date: 8 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2018.05.032
Gas dynamics (general theory) (76N15) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Supersonic flows (76J20)
Related Items (5)
A finite element framework based on bivariate simplex splines on triangle configurations ⋮ Extrapolated discontinuity tracking for complex 2D shock interactions ⋮ On stable representations of Bell elements ⋮ Stabilized bi-cubic Hermite Bézier finite element method with application to gas-plasma interactions occurring during massive material injection in tokamaks ⋮ A discontinuous Galerkin method for a two dimensional reduced resistive MHD model
Cites Work
- High-order discontinuous Galerkin computation of axisymmetric transonic flows in safety relief valves
- An analysis of the performance of a high-order stabilised finite element method for simulating compressible flows
- From NURBS to NURPS geometries
- Entropy viscosity method for nonlinear conservation laws
- Isogeometric analysis using T-splines
- Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems
- A normalized representation of super splines of arbitrary degree on Powell-Sabin triangulations
- Weight control for modelling with NURPS surfaces
- Numerical solution of partial differential equations with Powell-Sabin splines
- Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- On calculating normalized Powell-Sabin B-splines
- Space-time adaptive ADER discontinuous Galerkin finite element schemes with \textit{a posteriori} sub-cell finite volume limiting
- An efficient class of WENO schemes with adaptive order
- Multivariate normalized Powell-Sabin \(B\)-splines and quasi-interpolants
- Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations
- Powell-Sabin B-splines for smeared and discrete approaches to fracture in quasi-brittle materials
- Isogeometric analysis with Bézier tetrahedra
- Optimizing domain parameterization in isogeometric analysis based on Powell-Sabin splines
- Powell-Sabin splines with boundary conditions for polygonal and non-polygonal domains
- Stabilization and shock-capturing parameters in SUPG formulation of compressible flows
- Continuity and convergence in rational triangular Bézier spline based isogeometric analysis
- Powell-Sabin B-splines and unstructured standard T-splines for the solution of the Kirchhoff-Love plate theory exploiting Bézier extraction
- A Powell-Sabin finite element scheme for partial differential equations
- Spline Functions on Triangulations
- An optimal algorithm for finding minimal enclosing triangles
- Piecewise Quadratic Approximations on Triangles
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- A simple shock‐capturing technique for high‐order discontinuous Galerkin methods
- A locking-free model for Reissner–Mindlin plates: Analysis and isogeometric implementation via NURBS and triangular NURPS
- A Method for the Numerical Calculation of Hydrodynamic Shocks
- Smooth macro-elements based on Powell--Sabin triangle splits
This page was built for publication: A stabilized Powell-Sabin finite-element method for the 2D Euler equations in supersonic regime
