Los Alamos National Laboratory

Los Alamos National Laboratory

Delivering science and technology to protect our nation and promote world stability
Find Expertise logo

Profile Pages

View homepages for scientists and researchers. Explore potential collaborations and project opportunities. Search the extensive range of capabilities by keyword to quickly find who and what you are looking for.

Markus Berndt

Markus Berndt

Email
Phone (505) 665-4711

Capabilities

  • Computational Physics and Applied Mathematics
  • Numerical modeling
  • Coupled multi-physics simulations
  • Computational fluid dynamics (CFD)
  • Partial differential equations
  • Jacobi-Free Newton Krylov Methods
  • Arbitrary Eulerian Lagrangian (ALE) approach
  • Multiscale-multiphase-multicomponent subsurface reactive flows
  • Applied Math
  • Mesh generation
  • Mimetic finite difference methods for PDEs
  • Adaptive mesh refinement (AMR)
  • Computer and Computational Sciences
  • High performance computing
  • Nuclear Engineering and Technology
  • Consortium for Advanced Simulation of Light Water Reactors (CASL)
  • Weapons Science and Engineering
  • Multi-physics codes

Expertise

  • Computational Physics
  • Numerical Analysis
  • Applied Mathematics

 

Education

  • Ph.D. in Applied Mathematics, University of Colorado at Boulder, 1999.
  • M.S. in Applied Mathematics, University of Colorado at Boulder, 1996.
  • Diplom Mathematiker, Heinrich Heine Universität Düsseldorf, Germany, 1994.
 

LANL Positions

  • Deputy Group Leader, Computational Physics and Methods Group CCS-2, 2015 to present
  • Scientist, Computational Physics and Methods Group CCS-2, 2009 to 2015
  • Scientist, Applied Mathematics and Plasma Physics Group T-5, 2008 to 2009.
  • Technical Staff Member, Mathematical Modeling and Analysis Group T-7, 2000 to 2008.
  • Postdoctoral Research Associate, Mathematical Modeling and Analysis Group T-7, 1999 to 2000.
 

Professional Societies

Society for Industrial and Applied Mathematics

 

Awards

  • Distinguished Performance Award (large team), 2011.
 

Publications

Fluid Flow Investigations within a 37 Element CANDU Fuel Bundle Supported by Magnetic Resonance Velocimetry and Computational Fluid Dynamics, M. Piro, F. Wassermann, S. Grundmann, S. J. Kim, M. Christon, M. Berndt,

M. Nishimura, C. Tropea, International Journal of Heat and Fluid Flow, 66(2017): 27–42.

 
Integrated surface/subsurface permafrost thermal hydrology: Model formulation and proof-of-concept simulations, S. L. Painter, E. T. Coon, A. Atchley, M. Berndt, R. Garimella, D. Moulton, D. Svyatskiy, C. J. Wilson, Water Resources Research, Vol 52, Issue 8, 2016, pp. 6062-6077.
 
Large-Eddy Simulation, Fuel Rod Vibration and Grid-to-Rod Fretting in Pressurized Water Reactors, Mark A. Christon, Roger Lu, Jozsef Bakosi, Balasubramanya T. Nadiga, Zeses Karoutas, Markus Berndt, Journal of Computational Physics, Volume 322, 2016, pp. 142-161.

A Hybrid Incremental Projection Method for Thermal-Hydraulics Applications, Mark A. Christon, Jozsef Bakosi, Balasubramanya T. Nadiga, Markus Berndt, Marianne F. Francois, Alan Stagg, Yidong Xia, Hong Luo, Journal of Computational Physics, Volume 317, 2016, pp 381-404.  

Mesh Infrastructure for Coupled Multiprocess Geophysical SimulationsRao V Garimella, William A Perkins, Mike W Buksas, Markus Berndt, Konstantin Lipnikov, Ethan Coon, John D Moulton, Scott L Painter, Procedia Engineering, Volume 82, 2014, pp 34-45.

Polyhedral Mesh Generation and Optimization for Non-manifold Domains. Rao V. Garimella, Jibum Kim, Markus Berndt, Proceedings of the 22nd International Meshing Roundtable, 2014, pp 313-330.

Nonlinear Krylov acceleration applied to a discrete ordinates formulation of the k-eigenvalue problem. Matthew T. Calef,  Erin D. Fichtl, James S. Warsa, Markus Berndt, Neil N. Carlson, Journal of Computational Physics, Volume 238, 1 April 2013, Pages 188–209.

Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian–Eulerian methods. Markus Berndt, Jérôme Breil, Stéphane Galera, Milan Kucharik, Pierre-Henri Maire, Mikhail Shashkov,  Journal of Computational Physics, Volume 230, Issue 17, 20 July 2011, Pages 6664–6687.

Hybrid remap for multi-material ALE. M. Kucharik, J. Breil, S. Galera, P.-H. Maire, M. Berndt, M. Shashkov, Computers & Fluids, Volume 46, Issue 1, July 2011, Pages 293–297.

Using the feasible set method for rezoning in ALE. Markus Berndt, Milan Kucharik, Mikhail J. Shashkov,  Procedia Computer Science, Volume 1, Issue 1, May 2010, Pages 1885–1892.

Reduced-dissipation remapping of velocity in staggered arbitrary Lagrangian–Eulerian methods. David Bailey, Markus Berndt, Milan Kucharik, Mikhail Shashkov,  Journal of Computational and Applied Mathematics, Volume 233, Issue 12, 15 April 2010, Pages 3148–3156.

Efficient nonlinear solvers for Laplace–Beltrami smoothing of three-dimensional unstructured grids. Markus Berndt, J. David Moulton, Glen Hansen, Computers & Mathematics with Applications, Volume 55, Issue 12, June 2008, Pages 2791–2806.

Superconvergence of the velocity in mimetic finite difference methods on quadrilaterals. M. Berndt, K. Lipnikov, M. Shashkov, M. F. Wheeler, and I. Yotov, SIAM J. Numer. Anal., 43(4) (2006), 1728–1749.

A node reconnection algorithm for mimetic finite difference discretizations of elliptic equations on triangular meshes. Markus Berndt, Konstantin Lipnikov, Mikhail Shashkov, and Pavel Váchal, Communications in Mathematical Sciences, Volume 3, Number 4 (2005), 665-680.

A mortar mimetic finite difference method on non-matching grids. Markus Berndt, Konstantin Lipnikov, Mikhail Shashkov, Mary F. Wheeler, Ivan Yotov, Numerische Mathematik, December 2005, Volume 102, Issue 2, pp 203-230.

Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part II, Markus Berndt, Thomas A. Manteuffel, and Stephen F. McCormick, SIAM J. Numer. Anal., 43(1) (2005), 409–436.

Analysis of first-order system least squares (FOSLS) for elliptic problems with discontinuous coefficients: Part I, Markus Berndt, Thomas A. Manteuffel, Stephen F. McCormick, and Gerhard Starke, SIAM J. Numer. Anal., 43(1) (2005), 386–408.

Multilevel Accelerated Optimization for Problems in Grid Generation. Markus Berndt, Mikhail J Shashkov, Proceedings of the 22nd International Meshing Roundtable, 2003, pp 351- 359.

Convergence of mimetic finite difference discretizations of the diffusion equation. M. Berndt, K. Lipnikov, D. Moulton, M. Shashkov, Journal of Numerical Mathematics. Volume 9, Issue 4 (2001), Pages 265–284.

Local error estimates and adaptive refinement for first-order system least squares (FOSLS). Markus Berndt, Thomas A Manteuffel, Stephen F McCormick, Electronic Transactions on Numerical Analysis, Volume 6 (1997), Pages 35-43.

 

Documents and Files