Abstract
We consider axisymmetric flow towards a point sink from a stratified fluid in a vertically confined aquifer. We present two approaches to solve the equations of flow for the linear density gradient case. Firstly, a series method results in an eigenfunction expansion in Whittaker functions. The second method is a simple finite difference method. Comparison of the two methods verifies the finite difference method is accurate, so that more complicated nonlinear, density stratification can be considered. Such nonlinear profiles cannot be considered with the eigenfunction approach. Interesting results for the case where the density stratification changes from linear to almost two-layer are presented, showing that in the nonlinear case there are certain values of flow rate for which a steady solution does not occur.
Highlights
This COMSOL® Multiphysics Programming Reference Manual details features and techniques that help you control COMSOL Multiphysics® using the application programming interface (API) for use with the Java® programming language
The COMSOL API can be used in the Application Builder, from a standalone Java application, and from the LiveLinkTM for MATLAB® interface
You can use the COMSOL API to develop custom applications based on COMSOL
Summary
This COMSOL® Multiphysics Programming Reference Manual details features and techniques that help you control COMSOL Multiphysics® using the application programming interface (API) for use with the Java® programming language. You can run Java class files with COMSOL API-based applications in different ways:. To test compiling a model files for Java, load feeder_clamp.mph from the COMSOL Multiphysics Applications Libraries into the COMSOL Desktop. The Java program is run as a single process where the COMSOL libraries are being loaded as requested This is the preferred way of running normal, small model files. You can run existing scripts without this syntax Use these methods to access properties of the different parts of the model object.
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