Multiphysics simulation: Difference between revisions

Revision as of 03:38, 12 September 2018

Revision as of 14:03, 12 October 2018

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Multiphysics is neither a research concept far from daily life nor a recently developed theory or technique. In fact, we live in a multiphysics world. Natural and artificial systems are running with various types of physical phenomena at different spatial and temporal scales: from atoms to galaxies and from pico-seconds to centuries. A few representative examples in fundamental and applied sciences are loads and deformations on solids, complex flows, fluid-structure interactions, plasma and chemical processes, thermo-mechanical and electromagnetic systems.<ref name=":0" /><ref name=":1" />

Multiphysics has rapidly developed into a research and application area across many science and engineering disciplines. There is a clear trend that more and more challenging problems we are faced with involve physical processes that cannot be covered by a single traditional discipline. This trend requires us to extend our analysis capacity to solve more complicated and more multidisciplinary problems. Modern academic communities are confronted with problems of rapidly increasing complexity, which straddle across the traditional disciplinary boundaries between physics, chemistry, material science and biology. Multiphysics has also become a frontier in industrial practice. Simulation programs have been evolving into a tool in design, product development, and quality control. During these creation processes, engineers are now required to think in areas outside of their training, even with the assistance of the simulation tools. It is more and more necessary for the modern engineers to know and grapegrasp the concept of what is known deep inside the engineering world as “multiphysics.” <ref>{{Cite news|url=https://eandt.theiet.org/content/articles/2015/03/multiphysics-brings-the-real-world-into-simulations/|title=Multiphysics brings the real world into simulations|date=2015-03-16|access-date=2018-08-19|language=en-US}}</ref> The auto industry gives out a good example. Traditionally, different groups of people focus on the structure, fluids, electromagnets and the other individual aspect separately. By contrast, the intersection of aspects, which may represent two physics topics and once was a gray area, can be the essential link in the life cycle of the product. As commented by,<ref>{{Cite journal|last=Thilmany|first=Jean|date=2010-02-01|title=Multiphysics: All at Once|journal=Mechanical Engineering Magazine Select Articles|volume=132|issue=2|pages=39–41|doi=10.1115/1.2010-Feb-5|issn=0025-6501}}</ref> “Design engineers are running more and more multiphysics simulations every day because they need to add reality into their models.”

== Types of Multiphysics ==

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== How to do Multiphysics? ==

The implementation of multiphysics usually follows the following procedure: identifying a multiphysical process/system, developing a mathematical description of this process/system, discretizing this mathematical model into an algebraic system, and solving this algebraic equation system, and postprocessing the data. The abstraction of a multiphysical problem from a complex phenomenon and the description of such a problem are usually not emphasized but very critical to the success of the multiphysics analysis. This requires to identify the system to be analyzed, including geometry, materials and dominant mechanisms. The identified system will be interpreted using mathematics languages (function, tensor, differential equation) as computational ___domain, boundary conditions, auxiliary equations and governing equations. Discretization, solution and postprocessing are carried out using computers. Therefore, the above procedure is not much different from those in general numerical simulation based on the discretization of partial differential equations.<ref name=":0" />

=== Mathematics Model ===