A new directional-splitting CIP interpolation with high accuracy and low memory consumption

DOI10.1016/j.jcp.2014.12.045zbMath1352.65307OpenAlexW2076843106MaRDI QIDQ729112

Takashi Yabe, Tetsu Oami, Tomomasa Ohkubo, Kohei Fukumitsu, Youichi Ogata

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.2014.12.045

zbMATH Keywords

high accuracyCIP methodlow memory consumptionmulti dimensions

Mathematics Subject Classification ID

Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

Cites Work

• The cubic-interpolated pseudo particle (CIP) method: Application to nonlinear and multi-dimensional hyperbolic equations
• Fully multidimensional flux-corrected transport algorithms for fluids
• Cubic interpolated pseudo-particle method (CIP) for solving hyperbolic- type equations
• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• Compact finite difference schemes with spectral-like resolution
• Weighted essentially non-oscillatory schemes
• A universal solver for hyperbolic equations by cubic-polynomial interpolation. I: One-dimensional solver
• A universal solver for hyperbolic equations by cubic-polynomial interpolation. II: Two- and three-dimensional solvers
• Cubic interpolated propagation scheme for solving the hyper-dimensional Vlasov-Poisson equation in phase space
• A multidimensional approach to rarefied and transitional flows with the CIP method
• The constrained interpolation profile method for multiphase analysis.

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