M\'etodos de Multiresoluci\'on y su Aplicaci\'on a un Modelo de Ingenier\'ia

TL;DR

This paper presents an adaptation of finite volume methods using multiresolution techniques to efficiently solve sedimentation problems in flocculated suspensions, reducing computational costs in hyperbolic conservation law systems.

Contribution

It introduces a novel application of multiresolution techniques to finite volume methods for sedimentation models, enhancing computational efficiency.

Findings

Reduced computational cost in sedimentation simulations

Effective adaptation of multiresolution techniques to finite volume methods

Potential for improved numerical resolution in hyperbolic systems

Abstract

The main objective of this dissertation is to present an adaptation of some finite volume methods used in the resolution of problems arising in sedimentation processes of flocculated suspensions (or sedimentation with compression). This adaptation is based on the utilization of multiresolution techniques, originally designed to reduce the computational cost incurred in solving using high resolution schemes in the numerical solution of hyperbolic systems of conservation laws.