Implicit boundary conditions in partial differential equations discretizations: identifying spurious modes and model reduction
From MaRDI portal
Publication:6119280
DOI10.1016/j.jcp.2023.112743arXiv2306.15802OpenAlexW4390563100MaRDI QIDQ6119280
Bassam Bamieh, Pascal R. Karam
Publication date: 29 February 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.15802
model reductiondifferential algebraic equationsspectral methodsspurious eigenvaluesOrr-Sommerfeld operatorimplicit boundary conditions
Basic methods in fluid mechanics (76Mxx) Numerical methods for ordinary differential equations (65Lxx) Hydrodynamic stability (76Exx)
Cites Work
- Unnamed Item
- On the boundary treatment in spectral methods for hyperbolic systems
- Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues
- Removal of spurious modes encountered in solving stability problems by spectral methods
- A modified tau spectral method that eliminates spurious eigenvalues
- The treatment of spurious pressure modes in spectral incompressible flow calculations
- The pseudospectral method for solving differential eigenvalue problems
- Roundoff error in computing derivatives using the Chebyshev differentiation matrix
- Two very accurate and efficient methods for computing eigenvalues and eigenfunctions in porous convection problems
- On the geometric origin of spurious waves in finite-volume discretizations of shallow water equations on triangular meshes
- Elimination of spurious eigenvalues in the Chebyshev tau spectral method
- An improved pseudospectral method for initial-boundary value problems
- A practical implementation of spectral methods resistant to the generation of spurious eigenvalues
- Optimal and robust control and estimation of linear paths to transition
- Spectral Methods
- Accurate solution of the Orr–Sommerfeld stability equation
This page was built for publication: Implicit boundary conditions in partial differential equations discretizations: identifying spurious modes and model reduction