A time-stepping scheme for inelastic collisions. Numerical handling of the nonoverlapping constraint.

DOI10.1007/s00211-005-0666-6zbMath1091.70002OpenAlexW1977708050WikidataQ58478372 ScholiaQ58478372MaRDI QIDQ818798

Bertrand Maury

Publication date: 21 March 2006

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-005-0666-6

zbMATH Keywords

non-uniquenessfluid-rigid particle mixturesmany-body motionsticky particle model

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Suspensions (76T20) Collision of rigid or pseudo-rigid bodies (70F35)

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Cites Work

• Nonlinear evolution equations - global behavior of solutions
• Convergence of a time-stepping scheme for rigid-body dynamics and resolution of Painlevé's problem
• Simulation of multiple spheres falling in a liquid-filled tube
• The dynamics of discrete mechanical systems with perfect unilateral constraints
• Sweeping by a continuous prox-regular set
• Direct simulations of 2D fluid-particle flows in biperiodic domains
• Direct simulation of flows of solid-liquid mixtures
• A class of nonlinear differential equations of second order in time
• Sticky Particles and Scalar Conservation Laws
• A many-body lubrication model
• The Fat Boundary Method: Semi-Discrete Scheme and Some Numerical Experiments
• Rigid-Body Dynamics with Friction and Impact
• Algorithms for particle-field simulations with collisions
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