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Basic Physics and Mathematics Interfaces

Fall term

Taught by Emilio Ruiz Reina

We will cover multiphysics modeling using the basic physical and mathematical interfaces of COMSOL Multiphysics, including a brief review of their theoretical foundations.

The content of this course covers, first of all, the basic physical interfaces and their physical foundations. It includes sections on electric and magnetic field theory, acoustics, transport of diluted species, laminar fluid flow, heat transfer and structural deformation of solids. It also describes in detail the associated physical interfaces that implement these theoretical equations in the simulation model.

Second, we will discuss the use of mathematical interfaces for equation-based modeling. With these interfaces, we can solve various types of partial differential equations (PDEs) using different formulations. In addition, they allow us to solve ordinary differential equations (ODEs) and distributed and global algebraic equations, as well as to generate curvilinear coordinate systems, manage events and define extra dimensions.

All these basic physical and mathematical interfaces are available on the main COMSOL Multiphysics platform. They allow us to solve basic problems in electromagnetics, acoustics, fluid flow, heat transfer, chemical species transport and structural deformation. The basic mathematical interfaces provide great flexibility, and with them we can solve virtually any problem stated in the form of partial differential equations.

    • Electric and magnetic fields.
    • Transport of diluted species.
    • Laminar fluid flow.
    • Heat transfer.
    • Structural deformation of solids.
    • Acoustics.
    • Associated physical interfaces
  • Equation-based modeling.
  • Partial Differential Equations (PDEs).
  • Ordinary differential equations (ODEs).
  • Global and distributed algebraic equations.
  • Curvilinear coordinates.
  • Events.
  • Distance to the wall.

Image made using the COMSOL Multiphysics® software and provided by courtesy of COMSOL.