Basic Mathematics Interfaces

A foundational course on the physics and mathematics interfaces of COMSOL Multiphysics, from physical foundations to equation-based modeling.

ECTS credits

3.0 ECTS

Teaching hours

9 hours

Instructor

Department of Applied Physics II
University of Malaga

The course is taught as a module in the Advanced Modeling, automation & optimization in COMSOL Multiphysics course and can also be included in a custom program.

Course overview

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

The course discusses mathematics interfaces for equation-based modeling, including partial differential equations, ordinary differential equations, distributed and global algebraic equations, curvilinear coordinate systems, events and wall distance fields.

All these interfaces are available on the main COMSOL Multiphysics platform, providing flexibility for physics-based and equation-based modeling.

Physics and mathematics interfaces covered

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

Syllabus

Module 01

Mathematics interfaces

  • Equation-based modeling.
  • Partial Differential Equations (PDEs).
  • Ordinary Differential Equations (ODEs).
  • Global and distributed algebraic equations.
Module 02

Coordinate systems and event handling

  • Curvilinear coordinates.
  • Events.
  • Distance to the wall.
  • Flexible equation-based workflows in the main COMSOL Multiphysics platform.

Connect physical modeling with equation-based workflows.

Continue reviewing the course catalog or visit the teaching team behind the program.