Charles Siewert

Works (75)

2018 article

Biographical Memoir and Publications of Paul F. Zweifel

JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT, Vol. 47, pp. 187–208.

By: N. McCormick, R. Garcia & C. Siewert

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.

By: R. Garcia, C. Siewert & J. Thomas

Source: NC State University Libraries
Added: August 6, 2018

2017 journal article

Paul Frederick Zweifel

Physics Today, 70(8), 73–73.

By: N. McCormick, C. Siewert, B. Ganapol & A. Prinja

Source: NC State University Libraries
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.

By: R. Garcia & C. Siewert

Source: NC State University Libraries
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.

By: R. Garcia & C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

2012 article

A simplified implementation of the discrete-ordinates method for a class of problems in radiative transfer with polarization (vol 112, pg 2801, 2011)

Journal of Quantitative Spectroscopy & Radiative Transfer, Vol. 113, pp. 575–576.

By: R. Garcia & C. Siewert

Source: NC State University Libraries
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.

By: L. Barichello & C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

2010 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.

By: R. Garcia & C. Siewert

Source: NC State University Libraries
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.

By: R. Garcia & C. Siewert

Source: NC State University Libraries
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.

By: R. Garcia & C. Siewert

Source: NC State University Libraries
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.

By: R. Garcia & C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

2008 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.

By: R. Garcia, C. Siewert & A. Yacout

Source: NC State University Libraries
Added: August 6, 2018

2008 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.

By: R. Garcia & C. Siewert

Source: NC State University Libraries
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.

By: R. Garcia, C. Siewert & A. Yacout

Source: NC State University Libraries
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.

By: C. Siewert

Source: NC State University Libraries
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 (Woodbury, N.Y.), 19(2).

By: R. Garcia & C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

2007 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.

By: R. Garcia & C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

2007 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.

By: R. Garcia & C. Siewert

Source: NC State University Libraries
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.

By: R. Garcia & C. Siewert

Source: NC State University Libraries
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.

By: C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

2006 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.

By: R. Garcia & C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

2006 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.

By: R. Garcia & C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

2005 journal article

The McCormack model for gas mixtures: Plane Couette flow

Physics of Fluids (Woodbury, N.Y.), 17(3).

By: R. Garcia & C. Siewert

Source: NC State University Libraries
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.

By: C. Siewert

Source: NC State University Libraries
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.

By: R. Garcia & C. Siewert

Source: NC State University Libraries
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.

By: C. Siewert & D. Valougerogis

Source: NC State University Libraries
Added: August 6, 2018

2004 journal article

On computing the Chapman-Enskog and Burnett functions

Journal of Quantitative Spectroscopy & Radiative Transfer, 86(1), 109–114.

By: L. Barichello, P. Rodrigues & C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

2004 journal article

On computing the thermal-slip coefficient from Kramers' problem

Physics of Fluids (Woodbury, N.Y.), 16(6), 2132–2135.

By: C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

2004 journal article

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

Physics of Fluids (Woodbury, N.Y.), 16(9), 3393–3402.

By: R. Garcia & C. Siewert

Source: NC State University Libraries
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.

By: C. Siewert

Source: NC State University Libraries
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.

By: C. Siewert & D. Valougeorgis

Source: NC State University Libraries
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.

By: C. Siewert

Source: NC State University Libraries
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.

By: L. Barichello & C. Siewert

Source: NC State University Libraries
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: ZAMP, 54(2), 273–303.

By: C. Siewert

Source: NC State University Libraries
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.

By: C. Siewert

Source: NC State University Libraries
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 (Woodbury, N.Y.), 15(6), 1696–1701.

By: C. Siewert

Source: NC State University Libraries
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.

By: L. Barichello, P. Rodrigues & C. Siewert

Source: NC State University Libraries
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.

By: C. Siewert & D. Valougeorgis

Source: NC State University Libraries
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: ZAMP, 53(5), 769–781.

By: L. Barichello, M. Camargo, P. Rodrigues & C. Siewert

Source: NC State University Libraries
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.

By: C. Siewert

Source: NC State University Libraries
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.

By: C. Siewert

Source: NC State University Libraries
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.

By: C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

2002 journal article

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

Physics of Fluids (Woodbury, N.Y.), 14(12), 4123–4129.

By: C. Siewert & F. Sharipov

Source: NC State University Libraries
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.

By: C. Siewert

Source: NC State University Libraries
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.

By: C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

2002 journal article

The temperature-jump problem for a variable collision frequency model

Physics of Fluids (Woodbury, N.Y.), 14(1), 382–391.

By: L. Barichello, A. Bartz, M. Camargo & C. Siewert

Source: NC State University Libraries
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.

By: C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

2001 journal article

Kramers' problem for a variable collision frequency model

European Journal of Applied Mathematics, 12(2001 Apr.), 179–191.

By: C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

2001 journal article

The critical problem with high-order anisotropic scattering

Annals of Nuclear Energy, 28(8), 825–829.

By: C. Siewert

Source: NC State University Libraries
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.

By: C. Siewert & D. Valougeorgis

Source: NC State University Libraries
Added: August 6, 2018

2001 journal article

Unified solutions to classical flow problems based on the BGK model

Zeitschrift Fur Angewandte Mathematik Und Physik: ZAMP, 52(3), 517–534.

By: L. Barichello, M. Camargo, P. Rodrigues & C. Siewert

Source: NC State University Libraries
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.

By: C. Siewert

Source: NC State University Libraries
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.

By: C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

2000 journal article

Particular solutions for the discrete-ordinates method

Journal of Quantitative Spectroscopy & Radiative Transfer, 64(3), 219–226.

By: L. Barichello, R. Garcia & C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

2000 journal article

Poiseuille and thermal-creep flow in a cylindrical tube

Journal of Computational Physics, 160(2), 470–480.

By: C. Siewert

Source: NC State University Libraries
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.

By: L. Barichello & C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

2000 journal article

The temperature-jump problem in rarefied-gas dynamics

European Journal of Applied Mathematics, 11(2000 Aug.), 353–364.

By: L. Barichello & C. Siewert

Source: NC State University Libraries
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.

By: R. Garcia & C. Siewert

Source: NC State University Libraries
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.

By: C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

1999 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.

By: C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

1999 journal article

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

Zeitschrift Fur Angewandte Mathematik Und Physik: ZAMP, 50(6), 972–981.

By: L. Barichello & C. Siewert

Source: NC State University Libraries
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.

By: L. Barichello & C. Siewert

Source: NC State University Libraries
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.

By: L. Barichello & C. Siewert

Source: NC State University Libraries
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.

By: C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

1999 journal article

Efficient eigenvalue calculations in radiative transfer

Journal of Quantitative Spectroscopy & Radiative Transfer, 62(6), 685–688.

By: C. Siewert & S. Wright

Source: NC State University Libraries
Added: August 6, 2018

1999 personal communication

Some comments concerning the discrete eigenvalue

By: C. Siewert

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.

By: L. Barichello & C. Siewert

Source: NC State University Libraries
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.

By: L. Barichello, R. Garcia & C. Siewert

Source: NC State University Libraries
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.

By: L. Barichello & C. Siewert

Source: NC State University Libraries
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.

By: R. Garcia & C. Siewert

Source: NC State University Libraries
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.

By: L. Barichello & C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

1998 journal article

The F-N method in atmospheric radiative transfer

International Journal of Engineering Science, 36(12-14), 1623–1649.

By: R. Garcia & C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

1997 journal article

On inverse boundary condition problems in radiative transfer

Journal of Quantitative Spectroscopy & Radiative Transfer, 57(1997), 405–410.

By: L. Barichello, R. Garcia & C. Siewert

Source: NC State University Libraries
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.

By: L. Barichello, R. Garcia & C. Siewert

Source: NC State University Libraries
Added: August 6, 2018

1997 journal article

Some identities for Chandrasekhar polynomials

Journal of Quantitative Spectroscopy & Radiative Transfer, 57(1997), 399–404.

By: C. Siewert & N. McCormick

Source: NC State University Libraries
Added: August 6, 2018