An analytical version of the discrete-ordinates method is used here to solve the classical temperature-jump problem based on the BGK model in rarefied-gas dynamics. In addition to a complete development of the discrete-ordinates method for the application considered, the computational algorithm is implemented to yield very accurate results for the temperature jump and the complete temperature a...

An analytical version of the discrete-ordinates method is used here in the field of rarefied-gas dynamics to solve a version of the temperature-jump problem that is based on a linearized, variable collision frequency model of the Boltzmann equation. In addition to a complete development of the discrete-ordinates method for the application considered, the computational algorithm is implemented t...

An analytical version of the discrete ordinates method is used to solve a class of boundaryvalue problems based on a linear Boltzmann equation relevant to the transport of neutral hydrogen atoms in a hydrogen plasma. In addition to a complete development of the discrete ordinates method for the considered application, the computational algorithm is implemented to yield very accurate results for...

An analytical discrete-ordinates method is used to solve the temperature-jump problem as defined by a synthetic-kernel model of the linearized Boltzmann equation. In particular, the temperature and density perturbations and the temperature-jump coefficient defined by the CES model equation are obtained (essentially) analytically in terms of a modern version of the discrete-ordinates method. The...

Asymptotic expressions for the reflected, transmitted, and internal scattered radiation field in optically thick, vertically homogeneous, plane-parallel media are derived from first principles by using the discrete ordinates method of radiative transfer. Compact matrix equations are derived for computing the escape function, diffusion pattern, diffusion exponent, and the reflection function of ...

Polynomial expansion procedures, along with an analytical discrete-ordinates method, are used to solve the temperature-jump problem based on a rigorous version of the linearized Boltzmann equation for rigid-sphere interactions. In particular, the temperature and density perturbations and the temperature-jump coe5cient are obtained (essentially) analytically in terms of a modern version of the d...

An analytical discrete-ordinates method is used to solve two basic half-space problems based on a new synthetic-kernel model of the linearized Boltzmann equation. In particular, Kramers’ problem and the half-space problem of thermal creep, both basic to the general area of rare8ed-gas dynamics, are de8ned by model equations that are solved (essentially) analytically in terms of a modern version...

A seminar workshop will be held at the Oak Ridge National Laboratory on August 14, 15, and 16, 1967, under the sponsorship of the Radiation Shielding Information Center and the Computing Technology Center (CTC) with the general theme "The Discrete Ordinates (S Method for Radiation Transport Calculations." The purpose of i! ) he seminar is to review the state-of-the,-art of the Discrete Ordinate...

The method of discrete ordinates is investigated for neutron noise simulations in the frequency domain. For this purpose, solver NOISE-SN developed and used to simulate two problems that are respectively derived from two-dimensional systems described transport simulation benchmarks C4V C5G7. In first problem based on system, compared diffusion-based simulator CORE SIM+. These results show SIM+ ...