A conservative semi-Lagrangian method for oscillation-free computation of advection processes

DOI10.1016/S0010-4655(01)00441-6zbMath0994.65106arXivmath/0110111MaRDI QIDQ1348040

Masato Ida

Publication date: 15 May 2002

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0110111

zbMATH Keywords

interpolationrational functionsemi-Lagrangian methodcubic functionconvexity preservingconservative method

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (4)

Efficient Implementation of Volume/Surface Integrated Average-Based Multi-Moment Method ⋮ New conservative gyrokinetic full-\(f\) Vlasov code and its comparison to gyrokinetic \(\delta f\) particle-in-cell code ⋮ An improved unified solver for compressible and incompressible fluids involving free surfaces. II. Multi-time-step integration and applications ⋮ Conservative semi-implicit semi-Lagrangian scheme for simulation of shallow flows

Cites Work

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• Constructing exactly conservative scheme in a non-conservative form
• An improved unified solver for compressible and incompressible fluids involving free surfaces. I: Convection
• The unified simulation for incompressible and compressible flow by the predictor-corrector scheme based on the CIP method
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• The nirvana scheme applied to one‐dimensional advection
• An accurate numerical algorithm for advective transport

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