Updated: April 4th, 2024 23:03

2018 article

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.

Source: Web Of Science

Added: April 22, 2019

2017 journal article

A Computationally Viable Version of the PN Method for Spheres

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

author keywords: Neutron transport; spherical geometry; spherical harmonics method

Source: Web Of Science

Added: August 6, 2018

2017 article

Paul Frederick Zweifel

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

Source: Web Of Science

Added: August 6, 2018

2015 journal article

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.

Source: Web Of Science

Added: August 6, 2018

2014 journal article

On the dispersion function for complex values of the parameter c

*ANNALS OF NUCLEAR ENERGY*, *69*, 203–204.

author keywords: Transport theory; Dispersion function; Discrete eigenvalue; Complex c

Source: Web Of Science

Added: August 6, 2018

2011 journal article

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.

author keywords: Radiative transfer; Polarization; Discrete-ordinates method; Nascent delta function

UN Sustainable Development Goal Categories

13. Climate Action
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2011 journal article

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.

author keywords: Transport theory; Nodal methods; Albedo problems; Critical problems

UN Sustainable Development Goal Categories

13. Climate Action
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2010 journal article

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.

Source: Web Of Science

Added: August 6, 2018

2009 journal article

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.

Source: Web Of Science

Added: August 6, 2018

2009 journal article

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.

Source: Web Of Science

Added: August 6, 2018

2008 journal article

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.

Source: Web Of Science

Added: August 6, 2018

2008 journal article

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.

Source: Web Of Science

Added: August 6, 2018

2007 journal article

A note on radiative transfer in a finite layer

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

Source: Web Of Science

Added: August 6, 2018

2007 journal article

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.

author keywords: rarefied gas dynamics; binary mixtures; rigid spheres; channel flow; linearized; Boltzmann equation

TL;DR:
An analytical version of the discrete‐ordinates method (the ADO method) is used with recently established analytical expressions for the rigid‐sphere scattering kernels in a study devoted to the flow of a binary gas mixture in a plane channel.
(via Semantic Scholar)

Source: Web Of Science

Added: August 6, 2018

2007 journal article

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).

Source: Web Of Science

Added: August 6, 2018

2007 journal article

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.

author keywords: radiative transfer; discrete ordinates; Fresnel conditions; multilayers

Source: Web Of Science

Added: August 6, 2018

2007 journal article

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

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

Source: Web Of Science

Added: August 6, 2018

2007 journal article

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.

Source: Web Of Science

Added: August 6, 2018

2006 journal article

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.

author keywords: rarefied gas dynamics; McCormack model; binary gas mixture

UN Sustainable Development Goal Categories

15. Life on Land
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2006 journal article

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.

author keywords: rarefied gas dynamics; binary mixtures; rigid spheres

Source: Web Of Science

Added: August 6, 2018

2006 journal article

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.

author keywords: rarefied gas dynamics; binary mixtures; rigid spheres; temperature-jump coefficient

Source: Web Of Science

Added: August 6, 2018

2005 journal article

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.

author keywords: rarefied gas dynamics; binary mixtures; rigid spheres

UN Sustainable Development Goal Categories

15. Life on Land
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2005 journal article

The McCormack model for gas mixtures: Plane Couette flow

*PHYSICS OF FLUIDS*, *17*(3).

Source: Web Of Science

Added: August 6, 2018

2005 journal article

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

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

Source: Web Of Science

Added: August 6, 2018

2005 journal article

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

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

author keywords: rarefied gas dynamics; sound-wave propagation; discrete ordinates

Source: Web Of Science

Added: August 6, 2018

2004 journal article

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.

Source: Web Of Science

Added: August 6, 2018

2004 journal article

On computing the thermal-slip coefficient from Kramers' problem

*PHYSICS OF FLUIDS*, *16*(6), 2132–2135.

Source: Web Of Science

Added: August 6, 2018

2004 journal article

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

*PHYSICS OF FLUIDS*, *16*(9), 3393–3402.

Source: Web Of Science

Added: August 6, 2018

2004 journal article

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.

Source: Web Of Science

Added: August 6, 2018

2004 journal article

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

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

author keywords: Boltzmann equation; rarefied gas dynamics; temperature-jump problem

Source: Web Of Science

Added: August 6, 2018

2003 journal article

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

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

author keywords: Boltzmann equation; rarefied gas dynamics; heat transfer; evaporation-condensation

Source: Web Of Science

Added: August 6, 2018

2003 journal article

On computing the Chapman-Enskog and Burnett functions

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

author keywords: Boltzmann equation; rarefied-gas dynamics; Chapman-Enskog; Burnett

TL;DR:
An expansion and projection technique based on Legendre polynomials is used to solve the Chapman-Enskog equations for viscosity and heat transfer and to compute the Burnett functions required for Poiseuille-flow problems based on rigid-sphere collisions and the linearized Boltzmann equation.
(via Semantic Scholar)

Source: Web Of Science

Added: August 6, 2018

2003 journal article

Some comments on modeling the linearized Boltzmann equation

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

author keywords: Boltzmann equation; rarefied-gas dynamics; synthetic kernels

Source: Web Of Science

Added: August 6, 2018

2003 journal article

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

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

Source: Web Of Science

Added: August 6, 2018

2003 journal article

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

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

author keywords: Boltzmann equation; rarefied gas dynamics; temperature-jump problem

Source: Web Of Science

Added: August 6, 2018

2003 journal article

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.

Source: Web Of Science

Added: August 6, 2018

2002 journal article

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

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

author keywords: radiative heat transfer; discrete-ordinates

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2002 journal article

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.

author keywords: rarefied gas dynamics; discrete ordinates

Source: Web Of Science

Added: August 6, 2018

2002 journal article

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

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

author keywords: discrete ordinates; rarefied gas dynamics

Source: Web Of Science

Added: August 6, 2018

2002 journal article

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.

author keywords: rarefied gas dynamics; discrete ordinates

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2002 journal article

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.

author keywords: radiative transfer; inverse problems

UN Sustainable Development Goal Categories

16. Peace, Justice and Strong Institutions
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2002 journal article

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

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

author keywords: radiative transfer; inverse problems

Source: Web Of Science

Added: August 6, 2018

2002 journal article

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

*PHYSICS OF FLUIDS*, *14*(12), 4123–4129.

Source: Web Of Science

Added: August 6, 2018

2002 journal article

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.

author keywords: Boltzmann equation; rarefied-gas dynamics; Chapman-Enskog; Burnett

Source: Web Of Science

Added: August 6, 2018

2002 journal article

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.

Source: Web Of Science

Added: August 6, 2018

2002 journal article

The temperature-jump problem for a variable collision frequency model

*PHYSICS OF FLUIDS*, *14*(1), 382–391.

Source: Web Of Science

Added: August 6, 2018

2002 journal article

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.

author keywords: Boltzmann equation; rarefied-gas dynamics; Kramers' problem; thermal creep

Source: Web Of Science

Added: August 6, 2018

2001 journal article

Kramers' problem for a variable collision frequency model

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

Source: Web Of Science

Added: August 6, 2018

2001 journal article

The critical problem with high-order anisotropic scattering

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

Source: Web Of Science

Added: August 6, 2018

2001 journal article

The temperature-jump problem for a mixture of two gases

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

author keywords: rarefied gas dynamics; discrete ordinates

Source: Web Of Science

Added: August 6, 2018

2001 journal article

Unified solutions to classical flow problems based on the BGK model

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

author keywords: discrete ordinates; rarefied gas dynamics

Source: Web Of Science

Added: August 6, 2018

2000 journal article

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

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

Source: Web Of Science

Added: August 6, 2018

2000 journal article

A discrete-ordinates solution for multigroup transport theory with upscattering

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

Source: Web Of Science

Added: August 6, 2018

2000 journal article

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

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

UN Sustainable Development Goal Categories

13. Climate Action
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

2000 journal article

Particular solutions for the discrete-ordinates method

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

Source: Web Of Science

Added: August 6, 2018

2000 journal article

Poiseuille and thermal-creep flow in a cylindrical tube

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

Source: Web Of Science

Added: August 6, 2018

2000 journal article

The searchlight problem for radiative transfer in a finite slab

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

Source: Web Of Science

Added: August 6, 2018

2000 journal article

The temperature-jump problem in rarefied-gas dynamics

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

UN Sustainable Development Goal Categories

7. Affordable and Clean Energy
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

2000 journal article

The transport of neutral hydrogen atoms in a hydrogen plasma

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

Source: Web Of Science

Added: August 6, 2018

1999 journal article

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

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

UN Sustainable Development Goal Categories

13. Climate Action
(Web of Science)

Source: Web Of Science

Added: August 6, 2018

1999 journal article

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

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

author keywords: kinetic theory; gas dynamics; discrete ordinates

Source: Web Of Science

Added: August 6, 2018

1999 journal article

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

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

Source: Web Of Science

Added: August 6, 2018

1999 journal article

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

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

author keywords: polarization; radiative transfer

Source: Web Of Science

Added: August 6, 2018

1999 journal article

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

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

Source: Web Of Science

Added: August 6, 2018

1999 journal article

Efficient eigenvalue calculations in radiative transfer

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

Source: Web Of Science

Added: August 6, 2018

1999 personal communication

Some comments concerning the discrete eigenvalue

Source: NC State University Libraries

Added: August 6, 2018

1998 journal article

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.

Source: Web Of Science

Added: August 6, 2018

1998 journal article

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

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

Source: Web Of Science

Added: August 6, 2018

1998 journal article

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

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

Source: Web Of Science

Added: August 6, 2018

1998 journal article

The F-N method for multigroup transport theory with upscattering

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

UN Sustainable Development Goal Categories

16. Peace, Justice and Strong Institutions
(OpenAlex)

Source: Web Of Science

Added: August 6, 2018

1998 journal article

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

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

Source: Web Of Science

Added: August 6, 2018

1998 article

The F-N method in atmospheric radiative transfer

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

Source: Web Of Science

Added: August 6, 2018

1997 journal article

On inverse boundary-condition problems in radiative transfer

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

Source: Web Of Science

Added: August 6, 2018

1997 conference paper

Radiative transfer with asymmetric ground reflection

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

Source: NC State University Libraries

Added: August 6, 2018

1997 journal article

Some identities for Chandrasekhar polynomials

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

Source: Web Of Science

Added: August 6, 2018

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