The Collocation Basis of Compact Finite Differences for Moment-Preserving Interpolations: Review, Extension and Applications
DOI10.4208/cicp.OA-2019-0170zbMath1482.65018OpenAlexW3081795862MaRDI QIDQ5162339
J. Becerra-Sagredo, Rolf Jeltsch, Carlos Málaga
Publication date: 2 November 2021
Published in: Communications in Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/cicp.oa-2019-0170
denoisingconservative interpolationhigh-order interpolationnumerical advectionregularized delta functionconservation of momentsmoment-preserving interpolation
Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Vortex methods applied to problems in fluid mechanics (76M23)
Cites Work
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- A comparison of vortex and pseudo-spectral methods for the simulation of periodic vortical flows at high Reynolds numbers
- Conservative interpolation between volume meshes by local Galerkin projection
- Conservative interpolation between unstructured meshes via supermesh construction
- A geometrically-conservative, synchronized, flux-corrected remap for arbitrary Lagrangian-Eulerian computations with nodal finite elements
- Conservative interpolation on unstructured polyhedral meshes: an extension of the supermesh approach to cell-centered finite-volume variables
- Higher-order conservative interpolation between control-volume meshes: application to advection and multiphase flow problems with dynamic mesh adaptivity
- A conservative semi-Lagrangian multi-tracer transport scheme (CSLAM) on the cubed-sphere grid
- Extrapolating B splines for interpolation
- Adaptive remeshing for three-dimensional compressible flow computations
- A practical guide to splines
- Performance of under-resolved two-dimensional incompressible flow simulations. II
- Simulation of doubly periodic shear layers using kinetically reduced local Navier-Stokes equations on a GPU
- High order accurate conservative remapping scheme on polygonal meshes using \textit{a posteriori} MOOD limiting
- Compatible, energy conserving, bounds preserving remap of hydrodynamic fields for an extended ALE scheme
- Second-order sign-preserving conservative interpolation (remapping) on general grids
- Numerical approximations of singular source terms in differential equations
- Construction and characterization of non-uniform local interpolating polynomial splines
- Conservative and entropy controlled remap for multi-material ALE simulations with space-staggered schemes
- A high-order conservative remap for discontinuous Galerkin schemes on curvilinear polygonal meshes
- A GPU-based multi-level algorithm for boundary value problems
- New spline basis functions for sampling approximations
- High order semi-Lagrangian particle methods for transport equations: numerical analysis and implementation issues
- Inverses of Vandermonde Matrices
- The immersed boundary method
- Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
- Interpolation Processes
- Accurate Conservative Remapping (Rezoning) for Arbitrary Lagrangian-Eulerian Computations
- Graduation by piecewise cubic polynomials: A historical review
- Analysis of a One-Dimensional Model for the Immersed Boundary Method
- Vortex Methods
- Properties of Discrete Delta Functions and Local Convergence of the Immersed Boundary Method
- Solution Reconstruction on Unstructured Tetrahedral Meshes UsingP1-Conservative Interpolation
- Moments Preserving and high-resolution Semi-Lagrangian Advection Scheme
- A Lagrangian Particle‐Wavelet Method
- Tetrahedral mesh optimisation and adaptivity for steady-state and transient finite element calculations
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