Numerical simulation of clarifier-thickener units treating ideal suspensions with a flux density function having two inflection points
نویسندگان
چکیده
منابع مشابه
Numerical simulation of clarifier-thickener units treating ideal suspensions with a flux density function having two inflection points
Abstract. We consider a nonconvex conservation law modelling the settling of particles in ideal clarifier-thickener units. The flux function of this conservation law has an explicit spatial dependence that is discontinuous. Previous works by two of the authors, together with collaborators, have been aimed at providing a firm rigorous ground of mathematical (global existence and uniqueness) and ...
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We consider a model of continuous sedimentation. Under idealizing assumptions, the settling of the solid particles under the influence of gravity can be described by the initial value problem for a nonlinear hyperbolic partial differential equation with a flux function that depends discontinuously on height. The purpose of this contribution is to present and demonstrate two numerical methods fo...
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Abstract. The purpose of this paper is to present a regulator for control of the continuous-sedimentation process in a clarifier-thickener unit when this is modelled in one space dimension and when the settling properties of the solids obey Kynch’s assumption. The model is a scalar hyperbolic conservation law with space-discontinuous flux function and point source. The most desired type of solu...
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We consider the Riemann problem for non-genuinely nonlinear conservation laws where the flux function admits two inflection points. This is a simplification of van der Waals fluid pressure, which can be seen as a function of the specific volume for a specific entropy at which the system lacks the non-genuine nonlinearity. Corresponding to each inflection point, A nonclassical Riemann solver can...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2006
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2005.11.008