Balbusaur
Framework for Linear Analysis
Radiation Hydrodynamics for Ryan et al. 2015
Mani Chandra ([email protected]), Ben Ryan ([email protected])
Astronomy Department, University of Illinois at Urbana-Champaign
Variables involved:
Density
Internal energy
Velocity in direction
Velocity in direction
Velocity in direction
Magnetic field in direction
Magnetic field in direction
Magnetic field in direction
Radiation energy density
Radiation flux in direction
Radiation flux in direction
Radiation flux in direction
Problem descriptions:
HYDRO_1D:
Mean variables : ,
Perturbed variables : , ,
Wavenumbers :
EDDINGTON_HYDRO_1D:
Mean variables : , ,
Perturbed variables : , , , ,
Wavenumbers :
EDDINGTON_MHD_1D:
Mean variables : , , , ,
Perturbed variables : , , , , , , ,
Wavenumbers :
rho0 = 1.00000000000000
u0 = 0.0100000000000000
B1 = 0.912870929175277
B2 = 0.912870929175277
E0 = 0.0200000000000000
T0 = 0.00666666666666667
aR = 1.01250000000000e7
h = 0.0252610279770162
kappa_a = 20.0000000000000
Numerical eigenvalues and eigenvectors
--------------------------------------
Eigenvalue = -179.9901995599556 - 1.5872400136200718e-15*I
delta_rho = -0.0004149793106175324 + 2.690176640479658e-18*I
delta_u = 0.7071726130033708
delta_u1 = 8.565197162635485e-18 + 0.011887634261883964*I
delta_u2 = 1.7401444868392346e-17 + 0.0053680416823948945*I
delta_B2 = -0.00020775947713083865 - 2.5512632371299526e-18*I
delta_E = -0.7068551280262354 - 6.938893903907228e-18*I
delta_F1 = -5.421010862427522e-19 - 0.009609910232944958*I
delta_F2 = -2.6508743117270583e-17 - 0.00016104234656339706*I
--------------------------
Eigenvalue = -19.740319503026544 + 7.8236028766554e-16*I
delta_rho = -3.608224830031759e-16 - 0.15027227112538194*I
delta_u = 3.469446951953614e-18 + 0.029646143238293496*I
delta_u1 = -0.47212082716561576 + 5.551115123125783e-16*I
delta_u2 = -0.10864284686748718 + 5.551115123125783e-16*I
delta_B2 = -6.245004513516506e-17 - 0.10561197736068885*I
delta_E = 4.163336342344337e-17 + 0.21745769174817461*I
delta_F1 = 0.7968018432617732
delta_F2 = -0.2202341758561986 - 9.575673587391975e-16*I
--------------------------
Eigenvalue = -20.40557223930576 + 2.578558026822275e-15*I
delta_rho = 2.3592239273284576e-16 - 0.11128574004804156*I
delta_u = 4.0332320816460765e-17 + 0.006621718157607248*I
delta_u1 = -0.3614168764305101 + 1.0824674490095276e-15*I
delta_u2 = -0.5370336720436534 + 8.604228440844963e-16*I
delta_B2 = 1.6306400674181987e-16 + 0.04936356488347622*I
delta_E = 2.498001805406602e-16 + 0.05322823271423696*I
delta_F1 = 0.21003295258469495 - 1.0408340855860843e-15*I
delta_F2 = 0.7205279078327176
--------------------------
Eigenvalue = -0.0032642454004597403 + 4.9423883172520835*I
delta_rho = 0.4285744404911743 - 0.0010406285545088226*I
delta_u = 0.005855263602084044 - 0.00010288375217299111*I
delta_u1 = -0.3371195661224611 + 0.000595910844773985*I
delta_u2 = 0.32762560213994474 + 0.0010349478484842287*I
delta_B2 = 0.7714496214631971
delta_E = 0.01257750231736609 - 0.0010580075405833497*I
delta_F1 = 0.00010859579411728057 + 0.0008777645037982717*I
delta_F2 = -0.0004952063096068608 - 0.0020369567892138383*I
--------------------------
Eigenvalue = -0.0032642454004610847 - 4.942388317252091*I
delta_rho = 0.42857444049117444 + 0.0010406285545081218*I
delta_u = 0.005855263602084028 + 0.0001028837521730012*I
delta_u1 = 0.3371195661224612 + 0.0005959108447735062*I
delta_u2 = -0.3276256021399453 + 0.001034947848484652*I
delta_B2 = 0.7714496214631967
delta_E = 0.012577502317366075 + 0.0010580075405834007*I
delta_F1 = -0.00010859579411724002 + 0.0008777645037982288*I
delta_F2 = 0.0004952063096068788 - 0.002036956789213796*I
--------------------------
Eigenvalue = -0.1559542507955123 + 0.5063719848387378*I
delta_rho = 0.9925220438538187
delta_u = 0.011543795539720063 + 0.0025357193023841876*I
delta_u1 = -0.07998894394665933 - 0.024635280384041416*I
delta_u2 = -0.0804556011602159 - 0.025229131189060856*I
delta_B2 = -0.006720140353091656 - 0.004656927665564897*I
delta_E = 0.012923374775867365 + 0.02013943321075428*I
delta_F1 = 0.002057156523646306 - 0.0013671950459143497*I
delta_F2 = -3.2745546496243033e-05 + 5.0295759507511996e-05*I
--------------------------
Eigenvalue = -0.2688196332293978 - 7.639067816269131e-15*I
delta_rho = 0.9978423880325686
delta_u = 0.006860913968233433 - 6.375108774214766e-17*I
delta_u1 = 9.610368056911511e-16 - 0.04269166221552611*I
delta_u2 = 4.614364446098307e-16 - 0.04259419155519067*I
delta_B2 = 0.0020797070757346808 + 1.0215352869158423e-15*I
delta_E = -0.024808763694922804 - 5.724587470723463e-16*I
delta_F1 = -1.3010426069826053e-18 + 0.002617852355146873*I
delta_F2 = 5.637004263977369e-18 - 1.5474870722245795e-05*I
--------------------------
Eigenvalue = -0.1559542507955098 - 0.5063719848387305*I
delta_rho = 0.9925220438538189
delta_u = 0.011543795539719957 - 0.002535719302384115*I
delta_u1 = 0.07998894394665758 - 0.024635280384041072*I
delta_u2 = 0.08045560116021346 - 0.025229131189060495*I
delta_B2 = -0.006720140353091631 + 0.004656927665566432*I
delta_E = 0.012923374775866577 - 0.020139433210753732*I
delta_F1 = -0.0020571565236461326 - 0.0013671950459142766*I
delta_F2 = 3.274554649625614e-05 + 5.029575950750562e-05*I
--------------------------