Nonlinear Propagation of a Cylindrical Wave — Verification Model
Application ID: 88771
This model example shows how to model nonlinear propagation of a cylindrical wave using the Nonlinear Pressure Acoustics, Time Explicit physics interface available in Acoustics Module of COMSOL Multiphysics. The interface implements the system of nonlinear acoustic equations in the form of a hyperbolic conservation law using the time-explicit discontinuous Galerkin finite element method.
This example analyzes the wave propagation in a lossless media over distances larger that the shock formation distance. Thus the tutorial puts a special emphasis on the techniques necessary for treating solution discontinuities, such as limiters, discretization, and solver settings. The numerical solution is compared to the analytical solution valid at the distances before the shock formation.
This model example illustrates applications of this type that would nominally be built using the following products:
however, additional products may be required to completely define and model it. Furthermore, this example may also be defined and modeled using components from the following product combinations:
The combination of COMSOL® products required to model your application depends on several factors and may include boundary conditions, material properties, physics interfaces, and part libraries. Particular functionality may be common to several products. To determine the right combination of products for your modeling needs, review the Tabella delle Funzionalità and make use of a free evaluation license. The COMSOL Sales and Support teams are available for answering any questions you may have regarding this.