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Young Investigator Award

Adaptive mesh refinement based on high order finite difference WENO scheme for multi-scale simulations

Parallel high-order integrators

A conservative high order semi-Lagrangian WENO method for the Vlasov equation

Integral deferred correction methods constructed with high order Runge-Kutta integrators

Grid-free plasma simulation techniques

Andrew Christlieb received his Ph.D. from the University of Wisconsin-Madison in 2001. Upon completing his Ph.D., he took a postdoc in the Aerospace Department at the University of Michigan with Iain Boyd, working on the simulation of micro air foils. He then transitioned to a postdoc in the Mathematics Department at the University of Michigan, where he worked with Robert Krasny on the development of mesh-free methods for plasma simulations. Since 2004, he has worked very closely with the RDHE group at the Air Force research labs on the development of new methods for particle simulations of plasmas. In 2006, Christlieb joined the mathematics department at Michigan State University. In 2006, he was awarded a summer faculty fellow from the Air Force to work with AFRL Edwards on modeling of electric pupation. In 2007, he received the Air Force Young Investigator Award for his work on the development of novel methods for simulating plasmas. From 2008-2012, Christlieb was an IPA for the directed energy group at Kirtland Air Force Base. In 2010, he was promoted to associate professor and in 2014 he was promoted to professor. In 2015, he was named an MSU Foundation Professor.

Christlieb has an active research group, focusing on multi-scale modeling, high order numerical methods and sub-linear lossy compression algorithms. He is currently advising three postdocs and 10 students. His former Ph.D. students have gone on to work at national labs, industry and in academia. He has been involved in the development of a host of high order Eulerian, Lagrangian and semi-Lagrangian conservative methods for the kinetic simulation of plasmas, as well as the development of high order finite difference constrained transport methods for the simulation of magnetohydrodynamics targeted at AMR codes and new implicit Maxwell solvers targeting scale separation in plasmas. Christlieb's group is currently funded by AFOSR Computational Mathematics, AFOSR Physics and Electronics, AFRL RDHE, NSF Division of Mathematics and ORNL LDRD on scalable computing.

Fast Convolution Methods

Multi-scale Modeling

High Order Numerical Methods

Weighted Essentially Non-oscillatory Methods

Defect Correction Methods

Sub-linear Lossy Compression Methods

Kinetic Theory

Plasmas Science

Energy Materials and Phase Filed Models

The Christlieb Group

Google Scholar Profile

First Graduate Fellowship in CMSE Department Established by MSU Alumnus

Prestigious Research Fellowships Awarded to MSU College of Natural Science Faculty

MSU Recruiting 100 Scientists to Meet Global Challenges

Chair, Department of Computational Mathematics, Science and Engineering

What is the expression, "It's not rocket science?"  Well, sometimes it is rocket science! Every fascinating and society benefiting plasma technology has an underpinning of basic science principles, and that science is described by mathematical equations. (Yes, you heard that correctly – math!) The truly impressive advances in plasma technologies that make our lives easier were all preceded by scientists and engineers figuring out the theory that describes how electrons and ions move around in plasmas – and that takes the form of mathematical equations that need to be solved. In this video, Professor Andrew Christlieb of Michigan State University describes his version of rocket science – developing the equations that describe plasma technologies and how you go about solving those equations. (This is why you want to take calculus!)

Prof. Andrew Christlieb: Computational Plasma Physics

iCER Research highlights - Andrew Christlieb

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