Boundary conditions for simulations of oscillating bubbles using the non-linear acoustic approximation

DOI10.1016/j.jcp.2014.12.037zbMath1351.76113OpenAlexW1974573698MaRDI QIDQ729000

J. R. C. King, M. Ruffert, A. M. Ziolkowski

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.2014.12.037

zbMATH Keywords

ghost fluid methodboundary conditionunderwater explosionnon-linear acoustic approximationoscillating bubble

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Liquid-gas two-phase flows, bubbly flows (76T10) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Cites Work

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• An adaptive ALE method for underwater explosion simulations including cavitation
• Non-reflecting boundary conditions
• On the HLLC Riemann solver for interface interaction in compressible multi-fluid flow
• A conservative interface method for compressible flows
• Time-dependent boundary conditions for hyperbolic systems. II
• Time dependent boundary conditions for hyperbolic systems
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Glimm's method applied to underwater explosions
• Nonreflecting boundary conditions for nonlinear hyperbolic systems
• AUSM(ALE): A geometrically conservative arbitrary Lagrangian-Eulerian flux splitting scheme
• Numerical solution of problems on unbounded domains. A review
• A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
• Restoration of the contact surface in the HLL-Riemann solver
• A perfectly matched layer for the absorption of electromagnetic waves
• On the computation of multi-material flows using ALE formulation.
• A remark on computing distance functions
• Treatment of interface problems with Godunov-type schemes
• Three-dimensional perfectly matched layer for the absorption of electromagnetic waves
• Simulation of bubble motion in a compressible liquid based on the three dimensional wave equation
• An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
• A Direct Eulerian MUSCL Scheme for Gas Dynamics
• Bubble dynamics in a compressible liquid. Part 1. First-order theory
• On Godunov-Type Methods for Gas Dynamics
• Approximate methods for modelling cavitation bubbles near boundaries
• On Riemann solvers for compressible liquids
• Acoustic cavitation: the fluid dynamics of non–spherical bubbles
• A Real Ghost Fluid Method for the Simulation of Multimedium Compressible Flow
• M<scp>ODELING</scp> A<scp>RTIFICIAL</scp> B<scp>OUNDARY</scp> C<scp>ONDITIONS FOR</scp> C<scp>OMPRESSIBLE</scp> F<scp>LOW</scp>
• The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I
• A Nonsteady Heat Diffusion Problem with Spherical Symmetry
• The simulation of compressible multi-medium flow. I: A new methodology with test applications to 1D gas-gas and gas-water cases. II: Applications to 2D underwater shock refraction
• Coupling and Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method.

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