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2013 IEPC at GWU
The International Electric Propulsion Conference (IEPC) is the premier international conference for researches studying electric propulsion (plasma) rockets. The 2011 conference took place in Wiesbaden, Germany. The next conference will take place in 2013 at the George Washington University in Washington, D.C. Particle In Cell Consulting will be helping to make this a great event. See you there? (Jul 31 2011)
Particle Push in Magnetic Field (Boris Method)
A follow up on the previous article, in this tutorial we show you how to integrate the particle motion in the presence of a magnetic field. Inclusion of the magnetic field makes the integration an implicit problem, and care needs to be taken to conserve energy. A simple forward differencing would result in a non-physical energy gain, and the particle would spiral away from the guiding center. (Jul 11 2011)
Leapfrog Particle Push (Velocity Integration)
In this article we discuss probably the most fundamental aspect of numerical simulations with the particle in cell (PIC) method: pushing particles. We introduce the commonly used leapfrog method, and provide a simple numerical algorithm in the form of an Excel spreadsheet that implements this method. (Jul 10 2011)
Get results faster with Java multithreading
Code parallelization is the process of modifying a simulation program so that it can take advantage of multiple computational cores to obtain results faster. One method is to distribute the workload locally in the form of computational threads. Java makes it easy to add multithreading to your code. Here we show you how to implement a "poor-man's" method, in which individual cases run serially, but multiple cases are launched concurrently. (Jun 25 2011)
The Finite Volume Method
The Finite Volume Method (FVM) is an algorithm for solving differential equations. It is based on the integral formulation of the problem, with each computational element corresponding to a volume over which the integration is performed. It is somewhat more complex than the Finite Difference, however, it can be applied to arbitrarily shaped domains. In this article we show you the basics of this method and provide a simple solver. (Apr 19 2011)
The Finite Difference Method
Numerical simulations generally involve solving some differential equations on a computational domain too complicated to solve analytically. The Finite Difference (FD) is a method for solving differential equations. It is a very popular method since it is very easy to understand and implement. Here we introduce the basics of this method and provide a simple example. (Mar 1 2011)
The Electrostatic Particle In Cell (ES-PIC) Method
Particle In Cell (PIC) is the name of a method used to numerically model dynamics of ionized gases, or plasmas. Its name stems from the fact that the gas is represented by a large number of computational particles that move in a disretized domain. The mesh cells are used to determine the global interactions between the charged particles. In this tutorial we show you how to implement the PIC method and provide a simple Matlab PIC code. (Nov 8 2010)