An optimal finite difference scheme with minimized dispersion and adaptive dissipation considering the spectral properties of the fully discrete scheme
DOI10.1007/s10915-021-01637-2zbMath1502.65076OpenAlexW3203002906MaRDI QIDQ2233970
Yu Hu, Kai Mao, Zhen-sheng Sun, Yu-xin Ren
Publication date: 12 October 2021
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01637-2
finite difference schemefully discrete schemehigh resolution schemeadaptive dissipationminimized dispersion
Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Hydro- and aero-acoustics (76Q05)
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Cites Work
- Minimizing errors from linear and nonlinear weights of WENO scheme for broadband applications with shock waves
- A sixth order hybrid finite difference scheme based on the minimized dispersion and controllable dissipation technique
- Space-time discretizing optimal DRP schemes for flow and wave propagation problems
- A class of finite difference schemes with low dispersion and controllable dissipation for DNS of compressible turbulence
- An adaptive central-upwind weighted essentially non-oscillatory scheme
- High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
- Dispersion-relation-preserving finite differene schemes for computational acoustics
- A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence
- Optimization of nonlinear error for weighted essentially non-oscillatory methods in direct numerical simulations of compressible turbulence
- Multi-domain hybrid spectral-WENO methods for hyperbolic conservation laws
- Optimal time advancing dispersion relation preserving schemes
- A general strategy for the optimization of Runge-Kutta schemes for wave propagation phenomena
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Compact finite difference schemes with spectral-like resolution
- A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws.
- A family of low dispersive and low dissipative explicit schemes for flow and noise computations.
- Conservative hybrid compact-WENO schemes for shock-turbulence interaction
- An improved third-order WENO-Z scheme
- Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
- Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics
- Efficient implementation of weighted ENO schemes
- A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
- A fifth order alternative compact-WENO finite difference scheme for compressible Euler equations
- Generalized sensitivity parameter free fifth order WENO finite difference scheme with Z-type weights
- An improved fifth order alternative WENO-Z finite difference scheme for hyperbolic conservation laws
- An efficient adaptive central-upwind WENO-CU6 numerical scheme with a new sensor
- An efficient hybrid method for solving Euler equations
- An optimized dispersion-relation-preserving combined compact difference scheme to solve advection equations
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- Optimization of time integration schemes coupled to spatial discretization for use in CAA applications
- A high-order accurate hybrid scheme using a central flux scheme and a WENO scheme for compressible flowfield analysis
- Developing high-order weighted compact nonlinear schemes
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