The Characteristic Mapping Method for the Linear Advection of Arbitrary Sets

DOI10.1137/18M1234424zbMath1476.65216arXiv1309.2731OpenAlexW3034135163MaRDI QIDQ5857854

Olivier Mercier, Jean-Christophe Nave, Xi-Yuan Yin

Publication date: 8 April 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2731

zbMATH Keywords

diffeomorphismmultiphaseadvection problemcharacteristic mappinggradient-augmented level-set

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Complexity and performance of numerical algorithms (65Y20)

Related Items (7)

A characteristic mapping method for the two-dimensional incompressible Euler equations ⋮ A volume-preserving reference map method for the level set representation ⋮ A characteristic mapping method for the three-dimensional incompressible Euler equations ⋮ A projection-based characteristic mapping method for tracer transport on the sphere ⋮ Front transport reduction for complex moving fronts ⋮ Eulerian framework for contact between solids represented as phase fields ⋮ A Diffusion-Driven Characteristic Mapping Method for Particle Management

Uses Software

• H-GTaR

Cites Work

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