Samulyak's Application
Abstract of current work
I have been working on the global numerical simulations of fluid
dynamics (magnetohydrodynamics) phenomena involving free surfaces. In
particular ,I've been developing the FronTier code. The FronTier Code is
based on front tracking, a numerical technique for solving systems of
conservation laws in which the evolution of discontinuities is
determined through the solution of the corresponding Riemann problem.
The latest code developments include the implementation of solvers for
the stiff hyperbolic PDEs an equation of state model based on the
SESAME tabulated data of thermodynamic properties of real materials. The
code was used for the numerical simulation of the Muon Collider Target.
The target is in the form of a mercury jet interacting with high energy
proton beam in the presence of strong magnetic field. The numerical
simulation of the target evolution driven by strong pressure waves is
important for the optimal target design.
The FronTier numerical simulations are being performed on a cluster of
Pentium processors running RedHat Linux and the Message Passing
Interface.
Selected Publications
1. J. Glimm, H. Kirk, X. L. Li, J. Pinezich, R. Samulyak and N. Simos,
Simulation of 3D fluid jets with application to the Muon Collider target
design, in Advances in Fluid Mechanics III, Editors: M. Rahman, C.A.
Brebbia, WIT Press, 2000, pp. 191 - 200.
2. D. Blackmore, R. Samulyak and A. Rosato, New mathematical models for
granular flow dynamics, Nonlinear Mathematical Physics, 6 (1999), No. 2,
198-221.
3. D. Blackmore, R. Samulyak and M.C. Leu, Singularity theory approach
to swept volumes, International Journal of Shape Modeling, 2000 (to
appear).
4. D. Blackmore, Y. Prykarpatsky and R. Samulyak, The integrability of
Lie-invariant geometric objects generated by ideals in the Grassmann
algebra. Nonlinear Mathematical Physics, 5 (1998), N1, 1-14.
5. D. Blackmore, R. Samulyak and R. Dave, Approximate inertial manifold
in finite differencies for granular flow dynamical system, SIAM J.
Numer. Anal., (under review).
6. A. Prykarpatsky, W. Strampp, D. Blackmore, Yu. Sidorenko and R.
Samulyak, On Lagrangian and Hamiltonian formalisms for infinite
dimensional dynamical systems with symmetries, CAMS Research Report:
96-22, New Jersey Institute of Technology, 1996.
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