Two dimensional analysis and optimization of hybrid MDCD-TENO schemes

DOI10.1007/S10915-021-01743-1zbMath1481.65158OpenAlexW4200126160MaRDI QIDQ2063219

Andrew Ooi, Raynold Tan

Publication date: 10 January 2022

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01743-1

zbMATH Keywords

computational gas dynamicsnonlinear spectral analysisshock capturing finite differenceWENO/TENO schemes

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) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for discrete and fast Fourier transforms (65T50) Finite difference methods for boundary value problems involving PDEs (65N06) Euler equations (35Q31)

Related Items (4)

Learning an optimised stable Taylor-Galerkin convection scheme based on a local spectral model for the numerical error dynamics ⋮ A family of well-balanced WENO and TENO schemes for atmospheric flows ⋮ A Five-Point TENO Scheme with Adaptive Dissipation Based on a New Scale Sensor ⋮ A new troubled cell indicator and a new limiter based on TENO schemes for RKDG methods

Cites Work

• A class of finite difference schemes with low dispersion and controllable dissipation for DNS of compressible turbulence
• Dispersion-relation-preserving finite differene schemes for computational acoustics
• On the spectral properties of shock-capturing schemes
• High order hybrid central-WENO finite difference scheme for conservation laws
• Multidimensional optimization of finite difference schemes for computational aeroacoustics
• Weighted essentially non-oscillatory schemes
• A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws.
• Conservative hybrid compact-WENO schemes for shock-turbulence interaction
• On the proper setup of the double Mach reflection as a test case for the resolution of gas dynamics codes
• Targeted ENO schemes with tailored resolution property for hyperbolic conservation laws
• An adaptive characteristic-wise reconstruction WENO-Z scheme for gas dynamic Euler equations
• Efficient implementation of weighted ENO schemes
• A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
• Two dimensional analysis of hybrid spectral/finite difference schemes for linearized compressible Navier-Stokes equations
• A class of high-order finite difference schemes with minimized dispersion and adaptive dissipation for solving compressible flows
• A family of high-order targeted ENO schemes for compressible-fluid simulations
• Hybrid finite compact-WENO schemes for shock calculation
• Small-scale structure of the Taylor–Green vortex
• Optimized compact finite difference schemes with maximum resolution
• Optimized sixth‐order monotonicity‐preserving scheme by nonlinear spectral analysis
• A Hybrid Method with TENO Based Discontinuity Indicator for Hyperbolic Conservation Laws

This page was built for publication: Two dimensional analysis and optimization of hybrid MDCD-TENO schemes