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
DOI10.1016/J.JCP.2014.12.050zbMath1351.76129OpenAlexW2037653429MaRDI QIDQ729043
Publication date: 20 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2014.12.050
spline interpolationcurvilinear coordinatesfinite volume schemenon-uniform gridsshock capturinghigh order scheme
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Compressible fluids and gas dynamics (76Nxx)
Related Items (10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stabilized non-dissipative approximations of Euler equations in generalized curvilinear coordinates
- A class of finite difference schemes with low dispersion and controllable dissipation for DNS of compressible turbulence
- Finite-volume compact schemes on staggered grids
- Numerical solution of nonlinear hyperbolic conservation laws using exponential splines
- Very high-order compact finite difference schemes on non-uniform grids for incompressible Navier-Stokes equations
- Compact finite volume schemes on boundary-fitted grids
- Curvilinear finite-volume schemes using high-order compact interpolation
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Theory of exponential splines
- On central-difference and upwind schemes
- Compact finite difference schemes with spectral-like resolution
- A family of high order finite difference schemes with good spectral resolution
- A three-point sixth-order nonuniform combined compact difference scheme
- A three-point combined compact difference scheme
- 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.
- Conservative hybrid compact-WENO schemes for shock-turbulence interaction
- Derivation of high-order compact finite difference schemes for non-uniform grid using polynomial interpolation
- A finite volume formulation of compact central schemes on arbitrary structured grids
- Efficient implementation of weighted ENO schemes
- A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
- Computation of Exponential Splines
- Applications of exponential splines in computational fluid dynamics
- High-order difference schemes for two-dimensional elliptic equations
- Higher-Order Numerical Solutions Using Cubic Splines
- 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
- An Interpolation Curve Using a Spline in Tension
- 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
This page was built for publication: 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