A first Introduction to NGSolve

This is a tour through typical applications of NGSolve in mechanical and electrical engineering. You can browse the geometry file, the problem description (pde) file, and you can click onto the image to see a larger picture.

With NGSolve one can solve boundary value problems, initial-boundary value problems and Eigenvalue problems for the available types of equations, namely scalar (heat flow), elasticity, and magnetic field.

• A static simulation of a crank shaft. The normal component of the displacement in the main bearing is fixed, surface load is applied in the left bearing. The simulation used 150k second order tetrahedral finite elements (660k unknowns), CPU time on an 1 GHz PIII notebook is 15 min.

  Geometry file PDE file

  The picture shows the zz-component of the stress tensor.

• The first eigenmode of a cantilever beam:

  Geometry file PDE file

• 3D wave equations. Potential described at electrods, absorbing boundary conditions of 2nd order. 720k first order tetrahedral elements (129625 complex unknowns), CPU time on an 1 GHz PIII notebook is 6 min.

  Geometry file PDE file

• Magnetic field simulation. The field is induced by prescribed currents in a coil. The problem contains a thin, high permeable shield. This shield is meshed by thin prism elements. The simulation used 57563 second order, type 2 Nedelec elements (575195 unknowns), and requires 5 min on a 1 GHz PIII notebook.

  Geometry file PDE file

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