Low-dissipative high-order shock-capturing methods using characteristic-based filters

DOI10.1006/jcph.1998.6177zbMath0936.76060OpenAlexW2079635318MaRDI QIDQ1284557

H. C. Yee, M. J. Djomehri, Neil D. Sandham

Publication date: 25 May 2000

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://digitalcommons.unl.edu/nasapub/242

zbMATH Keywords

ENO schemes TVD schemes compact schemes low dissipation shock-turbulence interaction positive schemes characteristic filter compressible mixing layers conservative differencing high-order central differencings shock-capturing methods two-dimensional vortical flows vortex-shock interactions

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15)

Related Items

Energy-consistent finite difference schemes for compressible hydrodynamics and magnetohydrodynamics using nonlinear filtering, A high-order finite-difference algorithm for direct computation of aerodynamic sound, Some Observations on the Interaction Between Linear and Nonlinear Stabilization for Continuous Finite Element Methods Applied to Hyperbolic Conservation Laws, Foundations for high-order, conservative cut-cell methods: stable discretizations on degenerate meshes, High order nonlinear filter methods for subsonic turbulence simulation with stochastic forcing, An all-Mach, low-dissipation strategy for simulating multiphase flows, An improved WENO-Z+ scheme for solving hyperbolic conservation laws, Anti-dissipation pressure correction under low Mach numbers for Godunov-type schemes, A class of high-order finite difference schemes with minimized dispersion and adaptive dissipation for solving compressible flows, A high-order finite difference method for numerical simulations of supersonic turbulent flows, An adaptive discretization of compressible flow using a multitude of moving Cartesian grids, A priori grid quality estimation for high-order finite differencing, A multi-dimensional high-order DG-ALE method based on gas-kinetic theory with application to oscillating bodies, Comparison of high order algorithms in Aerosol and Aghora for compressible flows, Dynamic -equation model for large-eddy simulation of compressible flows, Vorticity-preserving schemes for the compressible Euler equations, Development of low dissipative high order filter schemes for multiscale Navier-Stokes/MHD systems, Optimised boundary compact finite difference schemes for computational aeroacoustics, Implicit solution of the unsteady Euler equations for high-order accurate discontinuous Galerkin discretizations, On high-order shock-fitting and front-tracking schemes for numerical simulation of shock-disturbance interactions, A new approach of a limiting process for multi-dimensional flows, Implicit space-time residual distribution method for unsteady laminar viscous flow, A Space-Time Discontinuous Galerkin Spectral Element Method for Nonlinear Hyperbolic Problems, Direct numerical simulation of flow past a transversely rotating sphere up to a Reynolds number of 300 in compressible flow, Lax-Wendroff flux reconstruction method for hyperbolic conservation laws, A 2D cell-centered Lagrangian scheme based on multi-state Riemann solver with exactly divergence-free magnetic fields, Inadequacy of linear methods for minimal sensor placement and feature selection in nonlinear systems: a new approach using secants, Multi-dimensional limiting process for hyperbolic conservation laws on unstructured grids, A new 6th-order WENO scheme with modified stencils, Implementation of a stable high-order overset grid method for high-fidelity simulations, Two-dimensional RBF-ENO method on unstructured grids, An Arbitrary Space-Time High-Order Finite Volume Scheme for Gas Dynamics Equations in Curvilinear Coordinates on Polar Meshes, Formation of surface trailing counter-rotating vortex pairs downstream of a sonic jet in a supersonic cross-flow, Skew-symmetric splitting for multiscale gas dynamics and MHD turbulence flows, Recent advancement of entropy split methods for compressible gas dynamics and MHD, A high-order flux reconstruction method for 3D mixed overset meshes, An improved fifth-order WENO scheme with symmetry-preserving smoothness indicators for hyperbolic conservation laws, Construction of conservative numerical fluxes for the entropy split method, Locally order-preserving mapping for WENO methods, High order WENO finite difference scheme with adaptive dual order ideal weights for hyperbolic conservation laws, Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations, Bicompact schemes for compressible Navier-Stokes equations, Admissibility preserving subcell limiter for Lax-Wendroff flux reconstruction, Compact high order finite volume method on unstructured grids. III: Variational reconstruction, High-order composite compact schemes for simulation of viscous gas flows, New simple local smoothness indicators for fifth-order WENO schemes simulating compressible flows, A high-order modified finite-volume method on Cartesian grids for nonlinear convection-diffusion problems, Implicit gradients based conservative numerical scheme for compressible flows, Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state, Prediction of laminar-turbulent transition on flat plate on the basis of stochastic theory of turbulence and equivalence of measures, Transition mechanisms in cross-flow-dominated hypersonic flows with free-stream acoustic noise, Efficient high-order gradient-based reconstruction for compressible flows, On the accuracy of bicompact schemes as applied to computation of unsteady shock waves, A unified framework for non-linear reconstruction schemes in a compact stencil. I: Beyond second order, Numerical simulation of the fluid dynamic effects of laser energy deposition in air, On the universal trends in the noise reduction due to wavy leading edges in aerofoil–vortex interaction, The effect of Mach number on unstable disturbances in shock/boundary-layer interactions, Conservative and entropy controlled remap for multi-material ALE simulations with space-staggered schemes, On the effect of temporal error in high-order simulations of unsteady flows, High-order adapter schemes for cell-centered finite difference method, Turbulence structures and statistics of a supersonic turbulent boundary layer subjected to concave surface curvature, Numerical investigation of skewed spatially evolving mixing layers, Numerical workflow for scale-resolving computations of space launcher afterbody flows with and without jets, A Hybrid Numerical Simulation of Supersonic Isotropic Turbulence, Stability and receptivity characteristics of a laminar separation bubble on an aerofoil, High-speed boundary-layer transition induced by a discrete roughness element, Analysis of a high-order finite difference detector for discontinuities, A windowed Fourier pseudospectral method for hyperbolic conservation laws, DNS of the thermal effects of laser energy deposition in isotropic turbulence, A class of explicit ENO filters with application to unsteady flows, Nonlinear filtering and limiting in high order methods for ideal and non-ideal MHD, HIGH-ORDER ACCURATE NUMERICAL SCHEMES FOR THE PARABOLIC EQUATION, A Higher-Order Finite Volume Method Using Multiresolution Reproducing Kernels, An energy-stable high-order central difference scheme for the two-dimensional shallow water equations, Second-Order Invariant Domain Preserving Approximation of the Euler Equations Using Convex Limiting, A new very high-order upwind directional multi-layer compact (DMLC) scheme for multi-dimensional flows, Numerical study of cavitation regimes in flow over a circular cylinder, Generalized sensitivity parameter free fifth order WENO finite difference scheme with Z-type weights, Entropy stable method for the Euler equations revisited: central differencing via entropy splitting and SBP, On the filtering of spurious oscillations in the numerical simulations of convection dominated problems, Numerical investigation of near-wake characteristics of cavitating flow over a circular cylinder, Low dissipative high‐order numerical simulations of supersonic reactive flows, Conservative limiting method for high-order bicompact schemes as applied to systems of hyperbolic equations, Overlapping Domain Decomposition Applied to the Navier–Stokes Equations, High-order accurate monotone compact running scheme for multidimensional hyperbolic equations, High-order staggered schemes for compressible hydrodynamics. Weak consistency and numerical validation, Time integration of unsteady nonhydrostatic equations with dual time stepping and multigrid methods, Low-order stochastic modelling of low-frequency motions in reflected shock-wave/boundary-layer interactions, Assessment of artificial fluid properties for high-order accurate large-eddy simulations of shock-free compressible turbulent flows with strong temperature gradients, New very high-order upwind multi-layer compact (MLC) schemes with spectral-like resolution for flow simulations, Numerical Dissipation Control in High Order Shock-Capturing Schemes for LES of Low Speed Flows, High-order shock capturing schemes for turbulence calculations, A hybrid scheme for the numerical simulation of shock/discontinuity problems, A high-order accurate hybrid scheme using a central flux scheme and a WENO scheme for compressible flowfield analysis, An efficient hybrid method for solving Euler equations, A high-order discontinuous Galerkin discretization with multiwavelet-based grid adaptation for compressible flows, An Optimised Five-Point-Stencil Weighted Compact Nonlinear Scheme for Hyperbolic Conservation Laws, The p-Weighted Limiter for the Discontinuous Galerkin Method in Solving Compressible Flows on Tetrahedral Grids, Grid convergence of high order methods for multiscale complex unsteady viscous compressible flows., A high-order moment limiter for the discontinuous Galerkin method on triangular meshes, An \textit{a posteriori} strategy for adaptive schemes in time for one-dimensional advection-diffusion transport equations, Summation by parts operators for finite difference approximations of second derivatives, Shock-capturing method using characteristic-based dissipation filters in pressure-based algorithm, Compact upwind schemes on adaptive octrees, Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves, Minimal dissipation hybrid bicompact schemes for hyperbolic equations, Direct numerical simulation of a turbulent flow over an axisymmetric Hill, Higher-order multi-dimensional limiting strategy for discontinuous Galerkin methods in compressible inviscid and viscous flows, Investigation of low-dissipation monotonicity-preserving scheme for direct numerical simulation of compressible turbulent flows, A sliding characteristic interface condition for direct numerical simulations, A high-order vertex-based central ENO finite-volume scheme for three-dimensional compressible flows, Improvement of weighted compact scheme with multi-step strategy for supersonic compressible flow, A low dissipation numerical scheme for implicit large eddy simulation, Additional terms for the use of Ffowcs Williams and Hawkings surface integrals in turbulent flows, Development of a third-order accurate vorticity confinement scheme, Improving the boundary efficiency of a compact finite difference scheme through optimising its composite template, Higher-order multi-dimensional limiting process for DG and FR/CPR methods on tetrahedral meshes, Some recent progress of high-order methods on structured and unstructured grids in CARDC, Accuracy consideration by DRP schemes for DNS and LES of compressible flow computations, Efficient low dissipative high order schemes for multiscale MHD flows. II: Minimization of \(\nabla\cdot B\) numerical error, Spurious behavior of shock-capturing methods by the fractional step approach: problems containing stiff source terms and discontinuities, High order entropy conservative central schemes for wide ranges of compressible gas dynamics and MHD flows, High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains, Genuinely multi-dimensional explicit and implicit generalized Shapiro filters for weather forecasting, computational fluid dynamics and aeroacoustics, A robust and contact resolving Riemann solver on unstructured mesh, part II, ALE method, Computational challenges for simulations related to the NASA electric arc shock tube (EAST) experiments, Up to sixth-order accurate A-stable implicit schemes applied to the discontinuous Galerkin discretized Navier-Stokes equations, Adaptive IMEX schemes for high-order unstructured methods, Hybrid spectral difference/embedded finite volume method for conservation laws, An implicit discontinuous Galerkin method for the unsteady compressible Navier-Stokes equations, On hybrid residual distribution-Galerkin discretizations for steady and time dependent viscous laminar flows, A high-wavenumber viscosity for high-resolution numerical methods, A nonlinear filter for high-order discontinuous Galerkin discretizations with discontinuity resolution within the cell, A three-dimensional hybrid LES-acoustic analogy method for predicting open-cavity noise, An adaptive central-upwind weighted essentially non-oscillatory scheme, Third-order accurate conservative method on unstructured meshes for gasdynamic simulations, Multioperator representation of composite compact schemes, Comparison of three large-eddy simulations of shock-induced turbulent separation bubbles, SpECTRE: A task-based discontinuous Galerkin code for relativistic astrophysics, Chebyshev-like generalized Shapiro filters for high-accuracy flow computations, A shock-detecting sensor for filtering of high-order compact finite difference schemes, Characteristic finite-difference WENO scheme for multicomponent compressible fluid analysis: overestimated quasi-conservative formulation maintaining equilibriums of velocity, pressure, and temperature, Large eddy simulation of low-frequency unsteadiness in a turbulent shock-induced separation bubble, High resolution conjugate filters for the simulation of flows., Adaptive filtering and limiting in compact high order methods for multiscale gas dynamics and MHD systems, On multioperators principle for constructing arbitrary-order difference schemes, On the use of immersed boundary methods for shock/obstacle interactions, Towards unification of the vorticity confinement and shock capturing (TVD and ENO/WENO) methods, The elastoplast discontinuous Galerkin (EDG) method for the Navier-Stokes equations, Inverse Lax-Wendroff boundary treatment for compressible Lagrange-remap hydrodynamics on Cartesian grids, High-order compact filters with variable cut-off wavenumber and stable boundary treatment, Runge-Kutta discontinuous Galerkin method for the approximation of Baer and Nunziato type multiphase models, A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws., Simulation of Richtmyer-Meshkov instability by sixth-order filter methods, Geometric, variational discretization of continuum theories, A new shock-capturing technique based on moving least squares for higher-order numerical schemes on unstructured grids, Multi-dimensional limiting process for three-dimensional flow physics analyses, Comparison of discontinuous Galerkin time integration schemes for the solution of flow problems with deformable domains, High-order, stable, and conservative boundary schemes for central and compact finite differences, An adaptive characteristic-wise reconstruction WENO-Z scheme for gas dynamic Euler equations, An entropy stable finite volume scheme for the two dimensional Navier-Stokes equations on triangular grids, High-order finite volume methods and multiresolution reproducing kernels, Hybrid running schemes with upwind and bicompact symmetric differencing for hyperbolic equations, Curvilinear grids for WENO methods in astrophysical simulations, Comparison of artificial-dissipation and solution-filtering stabilization schemes for time-accurate simulations, Comparative study of different numerical approaches in space-time CESE framework for high-fidelity flow simulations, High-order residual distribution scheme for the time-dependent Euler equations of fluid dynamics, Construction of low dissipative high-order well-balanced filter schemes for non-equilibrium flows, Generalized finite compact difference scheme for shock/complex flowfield interaction, A high resolution Lagrangian method using nonlinear hybridization and hyperviscosity, A CFD/CAA coupling method applied to jet noise prediction, Small scale localization in turbulent flows. A priori tests applied to a possible large eddy simulation of compressible turbulent flows, Improved boundary conditions for the direct numerical simulation of turbulent subsonic flows. I: Inviscid flows, Reprint of: ``Accuracy consideration by DRP schemes for DNS and LES of compressible flow computations, Recent developments in accuracy and stability improvement of nonlinear filter methods for DNS and LES of compressible flows, A high-order adaptive algorithm for multispecies gaseous flows on mapped domains, A hybrid scheme for compressible magnetohydrodynamic turbulence, Numerical dissipation control in high order shock-capturing schemes for LES of low speed flows, Hierarchical multi-dimensional limiting strategy for correction procedure via reconstruction, A massively parallel multi-block hybrid compact WENO scheme for compressible flows, A fully discrete, kinetic energy consistent finite volume scheme for compressible flows, A shock-capturing methodology based on adaptative spatial filtering for high-order non-linear computations, Finite volume solvers and moving least-squares approximations for the compressible Navier-Stokes equations on unstructured grids, On the entropy conserving/stable implicit DG discretization of the Euler equations in entropy variables, Pressure-tight and non-stiff volume penalization for compressible flows. An immersed boundary method with good conservation properties, High order accurate schemes for Euler and Navier-Stokes equations on staggered Cartesian grids, Entropy splitting and numerical dissipation, The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes, Residual distribution schemes: current status and future trends, High-order accurate computations for unsteady aerodynamics, An arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations, Entropy conserving implicit time integration in a discontinuous Galerkin solver in entropy variables, Entropy splitting for high-order numerical simulation of compressible turbulence, A subgrid-scale deconvolution approach for shock capturing, Conservative hybrid compact-WENO schemes for shock-turbulence interaction, Gradient based reconstruction: inviscid and viscous flux discretizations, shock capturing, and its application to single and multicomponent flows, Analysis of a higher-order vorticity confinement scheme in flux correction form, Scale-invariant multi-resolution alternative WENO scheme for the Euler equations

Cites Work