The compact CIP (cubic-interpolated pseudo-particle) method as a general hyperbolic solver

DOI10.1016/0045-7930(91)90067-RzbMath0733.76057OpenAlexW1973534797MaRDI QIDQ809763

Takashi Yabe, Takayuki Aoki, Gyo Sakaguchi, Takeo Ishikawa, Pei-Yuan Wang

Publication date: 1991

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(91)90067-r

zbMATH Keywords

traveling wavesharp discontinuitygeneral hyperbolic equationspiecewise cubic polynomial interpolationuniversal solver

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods applied to problems in fluid mechanics (76M20) Numerical interpolation (65D05)

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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
• The piecewise parabolic method (PPM) for gas-dynamical simulations
• Second-order fluid particle scheme
• Numerical calculations of discontinuities by shape preserving splines
• Cubic interpolated pseudo-particle method (CIP) for solving hyperbolic- type equations
• The representation of shock-like solutions in an Eulerian mesh
• An unsplit, higher order Godunov method for scalar conservation laws in multiple dimensions
• On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes

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