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walls <strong>and</strong> more. I will also list what I believe to be important new modeling objectives. Finally, I will speculate on what is<br />

happening with the magnetic field near the nose of the heliosphere. My conclusion is that models of GCR modulation rarely<br />

incorporate even crudely realistic magnetic fields so it is a wonder that they are as successful as they are <strong>and</strong> no surprise that<br />

there are still important discrepancies between GCR modulation observations <strong>and</strong> the models.<br />

Author<br />

Heliosphere; Solar Magnetic Field; Magnetic Fields; Sun; Mathematical Models<br />

20040068142 <strong>NASA</strong> Marshall Space Flight Center, Huntsville, AL, USA<br />

Properties of Longitudinal Flux Tube Waves, III, Wave Propagation in Solar <strong>and</strong> Stellar Wind Flows<br />

Cuntz, M.; Suess, S. T.; 2004; 1 pp.; In English; No Copyright; Avail: Other Sources; Abstract Only<br />

We discuss the analytic properties of longitudinal tube waves taking into account ambient wind flows. This is an extension<br />

of the studies of Papers I <strong>and</strong> II, which assumed a mean flow speed of zero <strong>and</strong> also dealt with a simplified horizontal pressure<br />

balance. Applications include the study of longitudinal flux tube waves in stars with significant mass loss <strong>and</strong> heating <strong>and</strong><br />

dynamics of plumes in the solar wind. Slow magnetosonic waves, also called longitudinal waves, have been observed in solar<br />

plumes <strong>and</strong> are likely an important source of heating. We show that the inclusion of ambient wind flows considerably alters<br />

the limiting shock strength as well as the energy damping length of waves.<br />

Author<br />

Stellar Winds; Solar Wind; Magnetoacoustic Waves; Wave Propagation; Longitudinal Waves<br />

20040068151 <strong>NASA</strong> Ames Research Center, Moffett Field, CA, USA<br />

High-Order Simulation of Non-Linear Oscillations <strong>and</strong> Shocks in the Solar Atmosphere<br />

Bryson, S.; Kosovichev, A.; Levy, D.; 2004; 2 pp.; In English; Presenation at the International Conference on Spectral <strong>and</strong><br />

High-Order Methods, 21-25 Jun. 2004, Providence, RI, USA<br />

Contract(s)/Grant(s): 704-40-42; No Copyright; Avail: Other Sources; Abstract Only<br />

The solar atmosphere presents a rich source of highly non-linear magneto-hydrodynamic phenomena: strong gradients<br />

<strong>and</strong> forcing terms result in both large shocks <strong>and</strong> oscillations. The additional requirements of energy balance <strong>and</strong> initialization<br />

in hydrostatic equilibrium compound the challenge of this problem. A wealth of observational data allows us to check the<br />

results of our simulations. The problem of simulating the solar atmosphere provides, in addition to an interesting system in<br />

its own right, a challenging testbed for high-order shock-capturing methods. We discuss the challenge of simulating solar<br />

atmospheric phenomena, concentrating on various high-order central methods ranging from second to fourth order. Our<br />

method is based on the central-upwind scheme of Kurganov, Noelle <strong>and</strong> Petrova, which we extend to high order via various<br />

interpolants. We investigate various initial data for our simulations, corresponding to observed conditions in different regions<br />

of the solar surface: the normal quiet sun <strong>and</strong> sunspots. When non-oscillatory using second- <strong>and</strong> third-order methods, we are<br />

able to reproduce non-trivial observational results. In particular we find a correlation between initial data <strong>and</strong> both the shock<br />

speeds <strong>and</strong> particle oscillation spectra that match observations in the corresponding regions. When using fourth-order WENO<br />

interpolants, we find that while the individual shock profiles at any given time appear non-oscillatory, spurious oscillations<br />

appear in the fields after long time integrations. The issue of initialization in hydrostatic equilibrium raises difficult issues.<br />

Careful treatment of the gravitational source term can reduce violations of hydrostatic equilibrium, but difficulties remain,<br />

primarily due to discontinuities in the piecewise-polynomial reconstructions. In the case of the Euler equations in gravity, the<br />

use of high-order methods reduces the violation of hydrostatic equilibrium to a sufficiently low level for the above described<br />

results to be obtained. Including various energy flux terms in the equations, however, leads to severe instability when<br />

hydrostatic balance is violated. We discuss various strategies to address this problem, including adaptive grid methods.<br />

Author<br />

Hydrostatics; Nonlinearity; Oscillations; Solar Atmosphere; Sun; Upwind Schemes (Mathematics); Simulation<br />

20040068269 <strong>NASA</strong> Marshall Space Flight Center, Huntsville, AL, USA<br />

External <strong>and</strong> Internal Reconnection in Two Filament-Carrying Magnetic-Cavity Solar Eruptions<br />

Sterling, Alphonse C.; Moore, Ronald L.; [2004]; 3 pp.; In English; No Copyright; Avail: Other Sources; Abstract Only<br />

We observe two near-limb solar filament eruptions, one of 2000 February 26 <strong>and</strong> the other of 2002 January 4. For both<br />

we use 195 Angstroms Fe XII images from the Extreme-Ultraviolet (EUV) Imaging Telescope (EIT) <strong>and</strong> magnetograms from<br />

the Michelson Doppler Imager (MDI), both on the Solar <strong>and</strong> Heliospheric Observatory (SOHO) satellite. For the earlier event<br />

we also use soft X-ray telescope (SXT), hard X-ray telescope (HXT), <strong>and</strong> Bragg Crystal Spectrometer (BCS) data from the<br />

Yohkoh satellite, <strong>and</strong> hard X-ray data from the BATSE experiment on the Compton Gamma Ray Observatory (CGRO). Both<br />

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