Julien, Werne CU, CoRA/NWRAFebruary 2004 Progress on Forward Modeling for Acoustic-Propagation Simulations Joe Werne (1) Keith Julien (2) (1) NorthWest.

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Presentation transcript:

Julien, Werne CU, CoRA/NWRAFebruary 2004 Progress on Forward Modeling for Acoustic-Propagation Simulations Joe Werne (1) Keith Julien (2) (1) NorthWest Research Associates, Inc. (NWRA) Colorado Research Associates Division (CoRA) 3380 Mitchell Lane, Boulder, CO (2) Department of Applied Mathematics University of Colorado, Boulder, CO

Julien, Werne CU, CoRA/NWRAFebruary 2004 Progress on Forward Modeling for Acoustic-Propagation Simulations Code Development:  Cartesian Geometry  Linear Acoustic Modes  3D MHD  Spectral Accuracy in all 3 Directions  3 rd -order Runge-Kutta time stepping w/internal Newton-Raphson iteration scheme for implicit operations  Currently generalizing and adapting wave-radiation formalism for acoustic-wave radiation

Julien, Werne CU, CoRA/NWRAFebruary 2004 Progress on Forward Modeling for Acoustic-Propagation Simulations Test Cases:  Acoustic wave-packet propagation, inviscid evolution 1)1-D with constant sound speed (test diffusion/dispersion) 2)3-D density anomaly (coin in two orientations)

Julien, Werne CU, CoRA/NWRAFebruary 2004 Progress on Forward Modeling for Acoustic-Propagation Simulations 1) 1-D with constant sound speed (test numerical diffusion/dispersion): gridpoint 0  t140  t280  tAfter 2400  t, amplitude drops by  0.7%. Negligible dispersion and diffusion errors.

Julien, Werne CU, CoRA/NWRAFebruary 2004 Progress on Forward Modeling for Acoustic-Propagation Simulations 2) 3-D density anomaly (coin in two orientations): 12.5 Mm 50 Mm C 0 =36 km/s C 1 =50 km/s

Julien, Werne CU, CoRA/NWRAFebruary 2004 Progress on Forward Modeling for Acoustic-Propagation Simulations 2) 3-D density anomaly (coin in two orientations):

Julien, Werne CU, CoRA/NWRAFebruary 2004 Progress on Forward Modeling for Acoustic-Propagation Simulations 2) 3-D density anomaly (coin in two orientations): 22 Mm  4Mm  5 mHz

Julien, Werne CU, CoRA/NWRAFebruary 2004 Progress on Forward Modeling for Acoustic-Propagation Simulations 2) 3-D density anomaly (coin in two orientations):

Julien, Werne CU, CoRA/NWRAFebruary 2004 Progress on Forward Modeling for Acoustic-Propagation Simulations 2) 3-D density anomaly (coin in two orientations): February 2004Julien, Werne CU, CoRA/NWRA

February 2004 Progress on Forward Modeling for Acoustic-Propagation Simulations Continued Test Work:  Sound-speed perturbations  Subsurface flows  Subsurface magnetic fields