# $M^5$ - Mathematics of Multiphase, Multiscale, Mutiphysics Models (22w5188)

## Organizers

(Louisiana State University & Agri)

(Ecole Polytechnique)

Samir Khanna (BP - USA)

## Description

The Casa Matemática Oaxaca (CMO) will host the "$M^5$ - Mathematics of Multiphase, Multiscale, Mutiphysics Models" workshop in Oaxaca, from July 31 to August 5, 2022.

Understanding the dynamics of dispersed multiphase flow and developing models at the appropriate scales (continuum, meso and interpenetrating continua scales) remains a challenge. It is of importance not only as a scientific problem in its own merit for understanding dynamics of volcanos, avalanches, sediment transport etc, in nature, but also for its engineered applications in such areas as chemical, material, mineral and food processing applications where such processes are commonly encountered. Advanced computational algorithms and High Performance Computing tools are enabling scientists and engineers to design and operate new manufacturing facilities that can be highly efficient and modular in design with a low energy and environmental foot print. Thus while the impact of such studies is quite broad, the workshop will focus on the three aspects of multiscale, multiphase and multiphysics models. We bring a group of leading international researchers to address current progress and challenges ahead on this topic. Although many industries (auto, aerospace ..) have already incorporated computational models as a reliable tool in their design practices to develop optimal designs, the process industry is trailing behind. This is due to a higher level of complexity in these flows. However, the next generational breakthrough in the process industry will not happen without multiphase CFD. The process industry is a key component of modern society. With increasing environmental concerns about high intensity use of fossil fuels, it is imperative that reliability of multiphase models and their computational solutions be improved to assist in the development a new generation of process equipment designs.

While the traditional processing industries developed in the early 1900 when our ability to solve such complex multiphase flow equations were limited, the next generation of processing industries that rely not on fossil fuel, but on renewable bio-feedstock, can be built using modular technologies with design tools built on strong foundational mathematical models for multiphase flows. The BIRS workshop will bring together mathematicians, scientists and engineers working on this field to learn from each other the current state of the science of multiphase flows to enable such innovations.

The Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station in Banff is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT). The research station in Oaxaca is funded by CONACYT