B. G. Carlson and K. D. Lathrop. Transport theory -- the method of discrete ordinates. In H. Greenspan, C. N. Kelber, and D. Okrent, editors, Computing Methods in Reactor Physics, pages 171--266. Gordon and Breach, New York, 1968.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....numbers of reflections. This very natural physical interpretation is often referred to as successive orders of scattering in radiative transfer literature [24, 38] The method of discrete ordinates used in radiative heat tanslet [11, 23] atmospheric scattering [24] and neutron transport [7] works by applying quadrature rules to discretely sampled positions and directions. Thus, it is essentially an application of the Nystr;3m method. A major advantage of the Nystom method is that it can easily accomodate differential operators by means of finite difference approximations. This makes ....

B. G. Carlson and K. D. Lathrop. Transport theory the method of discrete ordinates. In H. Greenspan, C. N. Kelber, and D. Okrent, editors, Computing Methods m Reactor Physics, pages 171 266. Gordon and Breach, New York, 1968.

....to the direction cosines and weights by the relation ff p;q 1 = 2 Gamma ff p;q Gamma 1 = 2 = Gammaw p;q p;q . The Cartesian coordinates form of (1) can be obtained by removing the angular differencing term and the references to r. Detailed derivations of these equations can be found in [7] and [8] as can most aspects of the solution procedure. To summarize briefly, we relate the face and cell based quantities in (1) using diamond difference formulas, I p;q;i Gamma 1 = 2 ;j I p;q;i 1 = 2 ;j = I p;q;i;j Gamma 1 = 2 I p;q;i;j 1 = 2 = I p;q Gamma 1 = 2 ;i;j I ....

Carlson, B. G., and Lathrop, K. D., "Transport Theory---The Method of Discrete Ordinates," Computing Methods in Reactor Physics, edited by Greenspan, H., Kelber, C. N., and Okrent, D., pp. 171--266, Gordon and Breach, New York, 1968.

.... number reacting flow is an extension of a higher order projection method for incompressible flow [9, 5, 3, 4] to the low Mach number equations of reacting flow[27] Our method is based on an approximate projection formulation [2] Radiative transport is modeled using the discrete ordinates method [8, 25]. The main goal of this work is to introduce and investigate the simulation of burners using a higher order projection method for low Mach number combustion. As such, the methodology is applied here only to axisymmetric flow in gas fired burners for which the boundaries can be aligned with a ....

....R fu;turb = ffl k min Gamma A 0 aem fu ; A 0 aem ox =st ox Delta : 3.10) Values of A 0 from 2 to 32 have been reported [6] A 0 = 4:0 is recommended in [26] The divergence of the radiative heat flux q rad is found using a discrete ordinates model. The discrete ordinates model [8, 25] defines r Delta q rad by r Delta q rad = 4k a oeT 4 Gamma k a X p;q w p;q I p;q ; 3.11) where the subscript p identifies a level of ordinate directions with a particular value of , and q indexes the separate ordinates sharing that level. I p;q satisfies p;q r (rI p;q ) r p ....

[Article contains additional citation context not shown here]

B. G. Carlson and K. D. Lathrop. Transport theory---the method of discrete ordinates. In H. Greenspan, C. N. Kelber, and D. Okrent, editors, Computing Methods in Reactor Physics, pages 171--266. Gordon and Breach, New York, 1968.

....numbers of reflections. This very natural physical interpretation is often referred to as successive orders of scattering in radiative transfer literature [24, 38] The method of discrete ordinates used in radiative heat ransfer [11, 23] atmospheric scattering [24] and neutron transport [7] works by applying quadrature rules to discretely sampled positions and directions. Thus, it is essentially an application of the Nystrom Linear Operators and Integral Equations 2 17 method. A major advantage of the Nystom method is that it can easily accomodate differential operators by means ....

B. G. Carlson and K. D. Lathrop. Transport theory -- the method of discrete ordinates. In H. Greenspan, C. N. Kelber, and D. Okrent, editors, Computing Methods in Reactor Physics, pages 171--266. Gordon and Breach, New York, 1968.

....is not a limitation. A k Gamma ffl model is used for turbulent transport[16] Chemical kinetics is modeled using a a two step scheme for natural gas combustion [30] coupled with a simplified turbulent kinetics model [6, 23] Radiative transport is modeled using the discrete ordinates method [9, 12, 22]. Viscosity and thermal conductivity are modeled with simple polynomial correlations [17] while GRI Mech thermochemical data [13] is used to compute enthalpies, heat capacities, and heats of formation. The equation of state is the perfect gas law. The wall of the furnace is represented as a ....

....using h, m l , and (3.8) Equations (3.1) and (3.5) are also redundant, as are the trio of equations (3.8) 3.1) and (2.2) These redundancies are accounted for numerically. The divergence of the radiative heat flux q rad is found using a discrete ordinates model. The discrete ordinates model [9, 22] defines r Delta q rad by r Delta q rad = 4k a oeT 4 Gamma k a X p;q w p;q I p;q ; 3.9) where the subscript p identifies a level of ordinate directions with a particular value of and q indexes the separate ordinates sharing that level. I p;q denotes a radiant intensity, w p;q an ....

B. G. Carlson and K. D. Lathrop. Transport theory---the method of discrete ordinates. In H. Greenspan, C. N. Kelber, and D. Okrent, editors, Computing Methods in Reactor Physics, pages 171--266. Gordon and Breach, New York, 1968.

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B. G. Carlson and K. D. Lathrop. Transport theory -- the method of discrete ordinates. In H. Greenspan, C. N. Kelber, and D. Okrent, editors, Computing Methods in Reactor Physics, pages 171--266. Gordon and Breach, New York, 1968.

No context found.

Carlson, B. G., and Lathrop, K. D., "Transport Theory---The Method of Discrete Ordinates," Computing Methods in Reactor Physics, edited by Greenspan, H., Kelber, C. N., and Okrent, D., pp. 171--266, Gordon and Breach, New York, 1968.

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