Charles Edward Siewert

Biographical Memoir and Publications of Paul F. Zweifel

McCormick, N. J., Garcia, R. D. M., & Siewert, C. E. (2018, April 16). JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT, Vol. 47, pp. 187–208.

A Computationally Viable Version of the PN Method for Spheres

NUCLEAR SCIENCE AND ENGINEERING, 186(2), 103–119.

Paul Frederick Zweifel

McCormick, N. J., Siewert, C. E., Ganapol, B. D., & Prinja, A. K. (2017, August). PHYSICS TODAY, Vol. 70, pp. 73–73.

The linearized Boltzmann equation with Cercignani-Lampis boundary conditions: Heat transfer in a gas confined by two plane-parallel surfaces

ANNALS OF NUCLEAR ENERGY, 86, 45–54.

On the dispersion function for complex values of the parameter c

ANNALS OF NUCLEAR ENERGY, 69, 203–204.

A simplified implementation of the discrete-ordinates method for a class of problems in radiative transfer with polarization

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 112(18), 2801–2813.

Some evaluations of basic nodal-like schemes for a selection of classical problems in particle transport theory

ANNALS OF NUCLEAR ENERGY, 38(9), 2101–2104.

Viscous-slip, thermal-slip, and temperature-jump coefficients based on the linearized Boltzmann equation (and five kinetic models) with the Cercignani-Lampis boundary condition

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 29(3), 181–191.

On the use of a nascent delta function in radiative-transfer calculations for multi-layer media subject to Fresnel boundary and interface conditions

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 111(1), 128–133.

The linearized Boltzmann equation with Cercignani-Lampis boundary conditions: Basic flow problems in a plane channel

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 28(3), 387–396.

Couette flow of a binary mixture of rigid-sphere gases described by the linearized Boltzmann equation

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 27(6), 823–836.

Radiative transfer in a multi-layer medium subject to Fresnel boundary and interface conditions and uniform illumination by obliquely incident parallel rays

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 109(12-13), 2151–2170.

A note on radiative transfer in a finite layer

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 40(8), 1785–1789.

Channel flow of a binary mixture of rigid spheres described by the linearized Boltzmann equation and driven by temperature, pressure, and concentration gradients

SIAM JOURNAL ON APPLIED MATHEMATICS, 67(4), 1041–1063.

Heat transfer between parallel plates: An approach based on the linearized Boltzmann equation for a binary mixture of rigid-sphere gases

PHYSICS OF FLUIDS, 19(2).

On the use of Fresnel boundary and interface conditions in radiative-transfer calculations for multilayered media

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 109(5), 752–769.

Particular solutions of the linearized Boltzmann equation for a binary mixture of rigid spheres

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 59(2), 281–292.

The viscous-slip, diffusion-slip, and thermal-creep problems for a binary mixture of rigid spheres described by the linearized Boltzmann equation

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 26(6), 749–778.

A Legendre expansion and some exact solutions basic to the McCormack model for binary gas mixtures

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 25(1), 130–136.

Some solutions (linear in the spatial variables) and generalized Chapman-Enskog functions basic to the linearized Boltzmann equations for a binary mixture of rigid spheres

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 58(2), 262–288.

The temperature-jump problem based on the linearized Boltzmann equation for a binary mixture of rigid spheres

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 26(1), 132–153.

Some exact results basic to the linearized Boltzmann equations for a binary mixture of rigid spheres

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 57(6), 999–1010.

The McCormack model for gas mixtures: Plane Couette flow

PHYSICS OF FLUIDS, 17(3).

The McCormack model for gas mixtures: The temperature-jump problem

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 56(2), 273–292.

The linearized Boltzmann equation: Sound-wave propagation in a rarefied gas

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 57(1), 94–122.

Concise and accurate solutions to half-space binary-gas flow problems defined by the McCormack model and specular-diffuse wall conditions

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 23(5), 709–726.

On computing the thermal-slip coefficient from Kramers' problem

PHYSICS OF FLUIDS, 16(6), 2132–2135.

The McCormack model for gas mixtures: Heat transfer in a plane channel

PHYSICS OF FLUIDS, 16(9), 3393–3402.

The McCormack model: channel flow of a binary gas mixture driven by temperature, pressure and density gradients

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 23(4), 645–664.

The temperature-jump problem based on the CES model of the linearized Boltzmann equation

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 55(1), 92–104.

Heat transfer and evaporation/condensation problems based on the linearized Boltzmann equation

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 22(4), 391–408.

On computing the Chapman-Enskog and Burnett functions

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 86(1), 109–114.

Some comments on modeling the linearized Boltzmann equation

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 77(1), 43–59.

The linearized Boltzmann equation: Concise and accurate solutions to basic flow problems

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 54(2), 273–303.

The linearized Boltzmann equation: a concise and accurate solution of the temperature-jump problem

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 77(4), 417–432.

Viscous-slip, thermal-slip, and temperature-jump coefficients as defined by the linearized Boltzmann equation and the Cercignani-Lampis boundary condition

PHYSICS OF FLUIDS, 15(6), 1696–1701.

An analytical discrete-ordinates solution for dual-mode heat transfer in a cylinder

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 73(6), 583–602.

An analytical discrete-ordinates solution of the S-model kinetic equations for flow in a cylindrical tube

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 72(4), 531–550.

An integral equation basic to the BGK model for flow in a cylindrical tube

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 53(5), 769–781.

Generalized boundary conditions for the S-model kinetic equations basic to flow in a plane channel

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 72(1), 75–88.

Inverse solutions to radiative-transfer problems based on the binomial or the Henyey-Greenstein scattering law

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 72(6), 827–835.

Inverse solutions to radiative-transfer problems with partially transparent boundaries and diffuse reflection

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 72(4), 299–313.

Model equations in rarefied gas dynamics: Viscous-slip and thermal-slip coefficients

PHYSICS OF FLUIDS, 14(12), 4123–4129.

On computing the Chapman-Enskog functions for viscosity and heat transfer and the Burnett functions

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 74(6), 789–796.

Poiseuille, thermal creep and Couette flow: results based on the CES model of the linearized Boltzmann equation

EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 21(5), 579–597.

The temperature-jump problem for a variable collision frequency model

PHYSICS OF FLUIDS, 14(1), 382–391.

Two half-space problems based on a synthetic-kernel model of the linearized Boltzmann equation

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 75(1), 21–38.

Kramers' problem for a variable collision frequency model

EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 12, 179–191.

The critical problem with high-order anisotropic scattering

ANNALS OF NUCLEAR ENERGY, 28(8), 825–829.

The temperature-jump problem for a mixture of two gases

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 70(3), 307–319.

Unified solutions to classical flow problems based on the BGK model

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 52(3), 517–534.

A concise and accurate solution to Chandrasekhar's basic problem in radiative transfer

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 64(2), 109–130.

A discrete-ordinates solution for multigroup transport theory with upscattering

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 64(3), 255–273.

A discrete-ordinates solution for radiative-transfer models that include polarization effects

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 64(3), 227–254.

Particular solutions for the discrete-ordinates method

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 64(3), 219–226.

Poiseuille and thermal-creep flow in a cylindrical tube

JOURNAL OF COMPUTATIONAL PHYSICS, 160(2), 470–480.

The searchlight problem for radiative transfer in a finite slab

JOURNAL OF COMPUTATIONAL PHYSICS, 157(2), 707–726.

The temperature-jump problem in rarefied-gas dynamics

EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 11, 353–364.

The transport of neutral hydrogen atoms in a hydrogen plasma

NUCLEAR SCIENCE AND ENGINEERING, 136(1), 140–149.

A concise and accurate solution for a polarization model in radiative transfer

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 62(6), 677–684.

A discrete-ordinates solution for Poiseuille flow in a plane channel

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 50(6), 972–981.

A discrete-ordinates solution for a non-grey model with complete frequency redistribution

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 62(6), 665–675.

A discrete-ordinates solution for a polarization model with complete frequency redistribution

ASTROPHYSICAL JOURNAL, 513(1), 370–382.

A discrete-ordinates solution for heat transfer in a plane channel

JOURNAL OF COMPUTATIONAL PHYSICS, 152(1), 251–263.

Efficient eigenvalue calculations in radiative transfer

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 62(6), 685–688.

Some comments concerning the discrete eigenvalue

A computation of the X and Y functions for a non-grey model with complete frequency redistribution

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 60(4), 649–656.

A spherical-harmonics solution for radiative-transfer problems with reflecting boundaries and internal sources

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 60(2), 247–260.

On the equivalence between the discrete ordinates and the spherical harmonics methods in radiative transfer

NUCLEAR SCIENCE AND ENGINEERING, 130(1), 79–84.

The F-N method for multigroup transport theory with upscattering

NUCLEAR SCIENCE AND ENGINEERING, 130(2), 194–212.

The F-N method for spectral-line formation by completely noncoherent scattering

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 60(2), 261–276.

The F-N method in atmospheric radiative transfer

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, Vol. 36, pp. 1623–1649.

On inverse boundary-condition problems in radiative transfer

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 57(3), 405–410.

Radiative transfer with asymmetric ground reflection

Proceedings of the 2nd Italian-Latinamerican Conference on Applied and Industrial Mathematics - ITLA 97, Roma, 1997, (1997), 13.

Some identities for Chandrasekhar polynomials

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 57(3), 399–404.