High resolution finite volume scheme based on the quintic spline reconstruction on non-uniform grids
DOI10.1007/s10915-017-0524-6zbMath1393.65023OpenAlexW2755494318MaRDI QIDQ1743441
Xiong Jiang, Qiuju Wang, Wen-Feng Huang, Yu-xin Ren
Publication date: 13 April 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-017-0524-6
finite volume methodcurvilinear coordinatesnon-uniform gridshybrid schemequintic spline reconstruction
Numerical computation using splines (65D07) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Uses Software
Cites Work
- Unnamed Item
- A class of finite difference schemes with low dispersion and controllable dissipation for DNS of compressible turbulence
- Geometric conservation law and applications to high-order finite difference schemes with stationary grids
- Dispersion-relation-preserving finite differene schemes for computational acoustics
- An accurate and robust finite volume scheme based on the spline interpolation for solving the Euler and Navier-Stokes equations on non-uniform curvilinear grids
- A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence
- Very high-order compact finite difference schemes on non-uniform grids for incompressible Navier-Stokes equations
- High order boundary conditions for high order finite difference schemes on curvilinear coordinates solving compressible flows
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Approximate Riemann solvers, parameter vectors, and difference schemes
- On central-difference and upwind schemes
- Compact finite difference schemes with spectral-like resolution
- A numerical resolution study of high order essentially non-oscillatory schemes applied to incompressible flow
- High-order non-uniform grid schemes for numerical simulation of hypersonic boundary-layer stability and transition.
- A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws.
- A new way for constructing high accuracy shock-capturing generalized compact difference schemes.
- Conservative hybrid compact-WENO schemes for shock-turbulence interaction
- Derivation of high-order compact finite difference schemes for non-uniform grid using polynomial interpolation
- Efficient implementation of weighted ENO schemes
- A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
- A new family of high-order compact upwind difference schemes with good spectral resolution
- Observations on the fifth-order WENO method with non-uniform meshes
- Derivative Riemann solvers for systems of conservation laws and ader methods
- Computation of Exponential Splines
- High-order difference schemes for two-dimensional elliptic equations
- Compact finite difference schemes on non-uniform meshes. Application to direct numerical simulations of compressible flows
- Formulation and experiments with high‐order compact schemes for nonuniform grids
- On Runge-Kutta processes of high order
- Evaluation of TVD high-resolution schemes for unsteady viscous shocked flows
- A fourth-order-accurate finite volume compact method for the incompressible Navier-Stokes solutions
- High accuracy iterative solution of convection diffusion equation with boundary layers on nonuniform grids
- Grid-optimized dispersion-relation-preserving schemes on general geometries for computational aeroacoustics
