Constructing higher order discontinuity-capturing schemes with upwind-biased interpolations and boundary variation diminishing algorithm
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Publication:2176740
DOI10.1016/j.compfluid.2020.104433OpenAlexW2999547502WikidataQ126333973 ScholiaQ126333973MaRDI QIDQ2176740
Xi Deng, Feng Xiao, Bin Xie, Yuya Shimizu
Publication date: 5 May 2020
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.08316
Related Items (12)
High-order central-upwind shock capturing scheme using a boundary variation diminishing (BVD) algorithm ⋮ Low-dissipation BVD schemes for single and multi-phase compressible flows on unstructured grids ⋮ Accurate hybrid AUSMD type flux algorithm with generalized discontinuity sharpening reconstruction for two-fluid modeling ⋮ A new paradigm of dissipation-adjustable, multi-scale resolving schemes for compressible flows ⋮ A new high-fidelity total variation diminishing scheme based on the boundary variation diminishing principle for compressible flows ⋮ A new family of downwind-limited, scale-invariant WENO schemes with optimal accuracy ⋮ High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws ⋮ Implicit gradients based conservative numerical scheme for compressible flows ⋮ A unified framework for non-linear reconstruction schemes in a compact stencil. I: Beyond second order ⋮ Symmetry-preserving enforcement of low-dissipation method based on boundary variation diminishing principle ⋮ Third-order scale-independent WENO-Z scheme to achieve optimal order at critical points ⋮ A new 3D OpenFoam solver with improved resolution for hyperbolic systems on hybrid unstructured grids
Uses Software
Cites Work
- A high-order symmetrical weighted hybrid ENO-flux limiter scheme for hyperbolic conservation laws
- A new smoothness indicator for improving the weighted essentially non-oscillatory scheme
- \textit{A posteriori} subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
- A dispersion relation preserving optimized upwind compact difference scheme for high accuracy flow simulations
- Improved accuracy of high-order WENO finite volume methods on Cartesian grids
- A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD)
- Revisit to the THINC scheme: a simple algebraic VOF algorithm
- Finite-volume WENO schemes for three-dimensional conservation laws
- Limiter-free discontinuity-capturing scheme for compressible gas dynamics with reactive fronts
- Boundary variation diminishing (BVD) reconstruction: a new approach to improve Godunov schemes
- On the spectral properties of shock-capturing schemes
- Very-high-order WENO schemes
- High resolution schemes for hyperbolic conservation laws
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- Weighted essentially non-oscillatory schemes
- Strong stability preserving properties of Runge--Kutta time discretization methods for linear constant coefficient operators
- Shock-vortex interactions at high Mach numbers
- Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
- An efficient class of WENO schemes with adaptive order
- Embedded WENO: a design strategy to improve existing WENO schemes
- Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
- Efficient implementation of weighted ENO schemes
- Implicit large eddy simulation of compressible turbulence flow with \(\mathrm{P}_n\mathrm{T}_m-\mathrm{BVD}\) scheme
- A fifth-order shock capturing scheme with two-stage boundary variation diminishing algorithm
- An improved weighted essentially non-oscillatory scheme with a new smoothness indicator
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Improved detection criteria for the multi-dimensional optimal order detection (MOOD) on unstructured meshes with very high-order polynomials
- A family of high-order targeted ENO schemes for compressible-fluid simulations
- An improved WENO-Z scheme
- Revisiting the spectral analysis for high-order spectral discontinuous methods
- High fidelity discontinuity-resolving reconstruction for compressible multiphase flows with moving interfaces
- Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- High Accuracy Computing Methods
- Classification of the Riemann Problem for Two-Dimensional Gas Dynamics
- Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
- The Multidimensional Optimal Order Detection method in the three‐dimensional case: very high‐order finite volume method for hyperbolic systems
- Numerical study on unstable surfaces of oblique detonations
- On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes
- On the transition pattern of the oblique detonation structure
- A simple algebraic interface capturing scheme using hyperbolic tangent function
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