University of Wisconsin Chambers Work John Santarius, Greg Moses, and Milad Fatenajed HAPL Team Meeting Georgia Institute of Technology February 5-6, 2004.

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Presentation transcript:

University of Wisconsin Chambers Work John Santarius, Greg Moses, and Milad Fatenajed HAPL Team Meeting Georgia Institute of Technology February 5-6, 2004

JFS 2004 Fusion Technology Institute, University of Wisconsin 2 Talk will Focus on Predicting the Ion Energy Spectrum at the First Wall Hydrodynamics-kinetic theory transition  Why is hydrodynamics not sufficient for the problem?  Related problems in the literature Status  Analyzing mean free paths for HAPL implosion/explosion cases  Formulating a long mean free path approach for BUCKY Future  Use modified BUCKY to predict ion threat spectrum  Investigate details of fast ion interaction with spherically expanding shock wave using discrete simulation Monte Carlo (DSMC) code, Icarus (SNL) Outline:

JFS 2004 Fusion Technology Institute, University of Wisconsin 3  For HAPL, two classes of ions violate the hydrodynamic assumptions for some fraction of the shot duration:  Fast fusion products  Maxwellian ion distribution tails  The explosion cannot efficiently accelerate ions with mean free paths longer than the shock thickness or, for some ions, the plasma extent. Why is Hydrodynamics Not Sufficient for the Problem? The hydrodynamic approximation breaks down for particles with mean free paths longer than the scale lengths of interest.  The figures below (for electrons) illustrate an analogous problem.  From LLNL ICF Bimonthly Update, Sep-Oct 2003.

JFS 2004 Fusion Technology Institute, University of Wisconsin 4 Related Research Exists, but the HAPL Fast-Ion Problem Has Not Been Addressed The transition between hydrodynamics and kinetic theory generally appears in the literature as modifications to the hydrodynamic equations:  E.g., the Mott-Smith (bi-Maxwellian) analysis, the 13-moment method, multi-fluid equations, and electron beamlets. Hydrodynamics texts, such as Zel’dovich and Raizer, discuss the issues but do not carry the analysis very far. Kinetic theory texts, such as Montgomery and Tidman, go into more detail, but the context is fundamental kinetic theory.

JFS 2004 Fusion Technology Institute, University of Wisconsin 5 Hydrodynamic Approximation Suffices for Most ICF Applications For reactors, the details of the ion energy spectrum versus time are critical, requiring kinetic modifications to the analysis. Some related experimental and theoretical ICF literature exists, mainly focused on kinetic modifications in the approximation of counter-streaming plasmas. Discrete simulation Monte Carlo (DSMC) and other Monte Carlo (e.g., BGK) computational analyses are beginning to appear.

JFS 2004 Fusion Technology Institute, University of Wisconsin 6 We Are Analyzing HAPL Burn Dynamics with the BUCKY 1-D Radiation Hydrodynamics Code

JFS 2004 Fusion Technology Institute, University of Wisconsin 7 Post-Processing and Detailed Analyses Are Accomplished Using Mathematica ®

JFS 2004 Fusion Technology Institute, University of Wisconsin 8 Fast Ions Possess Mean Free Paths Larger than the Shock Thickness

JFS 2004 Fusion Technology Institute, University of Wisconsin 9 We Will Modify BUCKY to Accelerate Only the Appropriate Ions r3r3 r2r2 r1r1 t1t1 t2t2 t3t3 Time Radius

JFS 2004 Fusion Technology Institute, University of Wisconsin 10 We Will Benchmark the BUCKY Calculations against the Icarus 2-D Discrete Simulation Monte Carlo Code Key feature of Discrete Simulation Monte Carlo (DSMC) codes:  Arbitrary mean free paths,  Chemical and gas-surface reactions, and  Sophisticated computational grids. The Icarus code (Tim Bartel, et al., SNL) goes beyond most other DSMC codes in that it includes plasma effects:  Neutral gas collisions with plasma,  Charged particle collisions with each other,  Atomic physics reactions,  Electrostatic fields, and  Plasma-surface interactions.

JFS 2004 Fusion Technology Institute, University of Wisconsin 11 Summary Hydrodynamics does not suffice for the HAPL ion energy spectrum, and kinetic effects must be assessed. We are analyzing a HAPL implosion/explosion case and formulating a long mean free path approach Future work includes  Using a modified BUCKY to predict ion threat spectrum  Investigating details of fast ion interaction with spherically expanding shock wave using discrete simulation Monte Carlo (DSMC) code, Icarus (SNL)