A new alternating bi-diagonal compact scheme for non-uniform grids
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Publication:2374986
DOI10.1016/j.jcp.2016.01.014zbMath1349.76139OpenAlexW2281711821MaRDI QIDQ2374986
Tapan K. Sengupta, Aditi Sengupta
Publication date: 5 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.2016.01.014
LESDNSglobal spectral analysisbi-diagonal compact schemesnon-periodic problemnon-uniform grid compact scheme
Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Direct numerical and large eddy simulation of turbulence (76F65)
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Cites Work
- Unnamed Item
- Unnamed Item
- A dispersion relation preserving optimized upwind compact difference scheme for high accuracy flow simulations
- Spurious waves in discrete computation of wave phenomena and flow problems
- Universal instability modes in internal and external flows
- High accuracy compact schemes and Gibbs' phenomenon
- Dispersion-relation-preserving finite differene schemes for computational acoustics
- Further improvement and analysis of CCD scheme: dissipation discretization and de-aliasing properties
- A new combined stable and dispersion relation preserving compact scheme for non-periodic problems
- Compact finite difference schemes with spectral-like resolution
- Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
- High-order finite-difference schemes for numerical simulation of hypersonic boundary-layer transition
- Optimized compact-difference-based finite-volume schemes for linear wave phenomena
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
- A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
- High order finite difference schemes on non-uniform meshes with good conservation properties
- Compact implicit MacCormack-type schemes with high accuracy
- Error dynamics: Beyond von Neumann analysis
- High Accuracy Computing Methods
- Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
- Compact finite difference schemes on non-uniform meshes. Application to direct numerical simulations of compressible flows
- Prefactored small-stencil compact schemes