A Quantitative Theory of Angular Truncation Errors in 3-d Discrete Ordinates Calculations

نویسندگان

  • Edward W. Larsen
  • Allan B. Wollaber
چکیده

. R=*#$,$*$,K% $L%"&' "*#A=+*& $&=#;*$,"# %&&"&I ,I H%K%+"/%H -"& $L&%%2H,:%#I,"#*+ H,I;&%$%2"&H,#*$%I E>NF /*&$,;+% $&*#I/"&$ ;*+;=+*$,"#IQ SL% $L%"&' ,I M*I%H "# *# *#*+'I,I "* I/%;,*+ /&"M+%:T * +";*+,U%H &*H,*++' I'::%$&,; I"=&;% ,# *# ,#!#,$% L":"A%#%"=I I;*$$%&,#A :%H,=:( V,$L *# *&M,$&*&' I;*$$%&,#A &*$," c I*$,I-',#A 0 < c < 1Q W"& M"$L $L% +,#%*& X"+$U:*## %R=*$,"# *#H $L% >N %R=*$,"#I( V% ;"#2 I$&=;$ *#H ;":/*&% ;+"I%H2-"&: Y*I':/$"$,;Z I"+=$,"#I "$L,I /&"M+%: $L*$ *&% K*+,H -*& -&": $L% I"=&;% &%A,"#Q )":/*&,#A $L%I% I"+=$,"#I( V% !#H $L*$ $L% &%+*$,K% %&&"& ,# $L% >N I"+=$,"# ,#;&%*I%I V,$L"=$ M"=#H -"& +*&A% H,I$*#;%I -&": $L% I"=&;% &%A,"#( M=$ H%;&%*I%I *$ %*;L ![%H I/*$,*+ /",#$ *I $L% I;*$$%&2 ,#A &*$," "& < E$L% "&H%& "$L% R=*H&*$=&% I%$F ,#;&%*I%IQ .+I"( $L% >N %&&"& /*$$%&#I ;"#-"&: $" ;+*II,; &*' %--%;$I -"& I:*++ c M=$ #"$ -"& +*&A%& cQ \% /&%I%#$ #=:%&,;*+ &%I=+$I $L*$ $%I$ *#H K*+,H*$% $L% R=*#$,2 $*$,K% $L%"&%$,;*+ /&%H,;$,"#IQ Key WordsT /*&$,;+% $&*#I/"&$( H,I;&%$% "&H,#*$%I( *#A=+*& $&=#;*$,"# %&&"&I( &*' %--%;$I

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Angular False Scattering in Radiative Heat Transfer Analysis Using the Discrete-ordinates Method with Higher-order Quadrature Sets

The SN quadrature set for the discrete-ordinates method is limited in overall discrete direction number in order to avoid physically unrealistic negative directional weight factors. Such a limitation can adversely impact radiative transfer predictions. Directional discretization results in errors due to ray effect, as well as angular false scattering error due to distortion of the scattering ph...

متن کامل

A hybrid scheme of single relaxation time lattice Boltzmann and finite volume methods coupled with discrete ordinates method for combined natural convection and volumetric radiation in an enclosure

This paper is focused on the application of hybrid Single relaxation time lattice Boltzmann and finite volume methods in conjunction with discrete ordinates method to simulate coupled natural convection and volumetric radiation in differentially heated enclosure, filled with an absorbing, emitting and non-scattering gray medium. In this work, the velocity and temperature fields are calculated u...

متن کامل

Mind the gap ⋆

In this summary of the application of Dyson-Schwinger equations to the theory and phenomenology of hadrons, some deductions following from a nonperturbative, symmetry-preserving truncation are highlighted, notable amongst which are results for pseudoscalar mesons. We also describe inferences from the gap equation relating to the radius of convergence of a chiral expansion, applications to heavy...

متن کامل

Numerical simulation of a three-layered radiant porous heat exchanger including lattice Boltzmann simulation of fluid flow

This paper deals with the hydrodynamic and thermal analysis of a new type of porous heat exchanger (PHE). This system operates based on energy conversion between gas enthalpy and thermal radiation. The proposed PHE has one high temperature (HT) and two heat recovery (HR1 and HR2) sections. In HT section, the enthalpy of flowing high temperature gas flow that is converted to thermal radiation em...

متن کامل

Calculation of the Induced Charge Distribution on the Surface of a Metallic Nanoparticle Due to an Oscillating Dipole Using Discrete Dipole Approximation method

In this paper, the interaction between an oscillating dipole moment and a Silver nanoparticle has been studied. Our calculations are based on Mie scattering theory and discrete dipole approximation(DDA) method.At first, the resonance frequency due to excitingthe localized surface plasmons has been obtained using Mie scattering theory and then by exciting a dipole moment in theclose proximity of...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007