Central schemes and systems of conservation laws with discontinuous coefficients modeling gravity separation of polydisperse suspensions.
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Publication:1426754
DOI10.1016/S0377-0427(03)00496-5zbMath1107.76366MaRDI QIDQ1426754
Kenneth Hvistendahl Karlsen, Raimund Bürger, Stefan Berres
Publication date: 15 March 2004
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
conservation lawnumerical simulationcentral difference schemesedimentationpolydisperse suspensionhyperbolic-elliptic system
Nonlinear effects in hydrodynamic stability (76E30) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Suspensions (76T20)
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Cites Work
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- Monotone difference approximations for the simulation of clarifier-thickener units
- A relaxation scheme for continuous sedimentation in ideal clarifier-thickener units
- Non-oscillatory central differencing for hyperbolic conservation laws
- Unconditionally stable methods for Hamilton-Jacobi equations
- Stability of conservation laws with discontinuous coefficients
- Blood flow through compliant vessels after endovascular repair: wall deformations induced by the discontinuous wall properties
- On gravity and centrifugal settling of polydisperse suspensions forming compressible sediments.
- Extending viscosity solutions to eikonal equations with discontinuous spatial dependence
- Solutions of Hamilton-Jacobi equations and scalar conservation laws with discontinuous space-time dependence
- Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontinuous space-time dependent flux
- Global solution of the Cauchy problem for a class of 2x2 nonstrictly hyperbolic conservation laws
- A front tracking approach to a model of continuous sedimentation in ideal clarifier-thickener units
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- Nonlinear resonance for quasilinear hyperbolic equation
- Sedimentation in a dilute polydisperse system of interacting spheres. Part 1. General theory
- Control of a surface of discontinuity in continuous thickness
- Nonlinear Resonance in Systems of Conservation Laws
- Solution of the Cauchy Problem for a Conservation Law with a Discontinuous Flux Function
- Viscosity Solutions and Convergence of Monotone Schemes for Synthetic Aperture Radar Shape-from-Shading Equations with Discontinuous Intensities
- Linear transport equations with discontinuous coefficients
- One-dimensional transport equations with discontinuous coefficients
- Analysis of a Conservation PDE With Discontinuous Flux: A Model of Settler
- Dynamic and Steady-State Behavior of Continuous Sedimentation
- Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression
- Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux
- A Difference Scheme for Conservation Laws with a Discontinuous Flux: The Nonconvex Case
- A Wave Propagation Method for Conservation Laws and Balance Laws with Spatially Varying Flux Functions
- Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient
- A relaxation scheme for conservation laws with a discontinuous coefficient
- A Mathematical Model of Traffic Flow on a Network of Unidirectional Roads
- Convergence of the $2 \times 2$ Godunov Method for a General Resonant Nonlinear Balance Law
- A Comparison of Convergence Rates for Godunov’s Method and Glimm’s Method in Resonant Nonlinear Systems of Conservation Laws
- Suppression of Oscillations in Godunov’s Method for a Resonant Non-Strictly Hyperbolic System
- On Scalar Conservation Laws with Point Source and Discontinuous Flux Function
- Convex conservation laws with discontinuous coefficients. existence, uniqueness and asymptotic behavior
- A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
- A conservation Law with Point Source and Discontinuous Flux Function Modelling Continuous Sedimentation
- Numerical approximations of one-dimensional linear conservation equations with discontinuous coefficients
- Continuous gravity separation of concentrated bidisperse suspensions in an inclined plate settler
- The Calculation of Scattering Amplitudes
- Stability of a resonant system of conservation laws modeling polymer flow with gravitation
- Operating charts for continuous sedimentation. I: Control of steady states.
- Central difference solutions of the kinematic model of settling of polydisperse suspensions and three-dimensional particle-scale simulations
