Concepedia

P1 Approximation

P1 Approximation is a spherical harmonics-based closure model in radiative transfer theory that truncates the Legendre expansion of the radiative intensity at the first-order term to derive a diffusion-type equation for approximating radiation transport in homogeneous and heterogeneous media.

80

Publications

2.7K

Citations

175

Authors

103

Institutions

Publications per year

2017–2026

8

Variants

P1 Method

Parents

Publications

80

The Coupling of Radiation and Hydrodynamics

Robert B. Lowrie, Jim E. Morel, J. Hittinger · The Astrophysical Journal · 1999 · 197 citations

, , +13

Diffuse reflectance from a finite blood medium: applications to the modeling of fiber optic catheters

Larry O. Reynolds, Curtis C. Johnson, Akira Ishimaru · Applied Optics · 1976 · 190 citations

, , +17

Diffusion, P1, and other approximate forms of radiation transport

Gordon L. Olson, L. H. Auer, Michael L. Hall · Journal of Quantitative Spectroscopy and Radiative Transfer · 2000 · 158 citations

, , +13

Two-level additive Schwarz preconditioners for nonconforming finite element methods

Susanne C. Brenner · Mathematics of Computation · 1996 · 136 citations · Full text

, , +13

Uniform asymptotic expansions in transport theory with small mean free paths, and the diffusion approximation

G. J. Habetler, B. J. Matkowsky · Journal of Mathematical Physics · 1975 · 124 citations

, , +16

1–5 of 80

Authors

175

  1. LA
    Leonid A. Dombrovsky

    Joint Institute for High Temperatures, Russia

    5 publications · 169 citations

    5

    h-index

  2. MF
    Michael F. Modest

    Pennsylvania State University, United States

    5 publications · 104 citations

    5

    h-index

  3. CA
    Camilo A. Arancibia‐Bulnes

    Universidad Nacional Autónoma de México, Mexico

    3 publications · 52 citations

    3

    h-index

  4. FL
    Fengshan Liu

    National Research Council Canada, Canada

    2 publications · 59 citations

    2

    h-index

  5. LW
    L. Wang

    Pennsylvania State University, United States

    2 publications · 55 citations

    2

    h-index

1–5 of 175

Institutions

103

  1. Pennsylvania State University

    State College, United States

    4 h-index

    12 publications

    276 citations

  2. University of Tyumen

    Tyumen, Russia

    4 h-index

    4 publications

    122 citations

  3. Joint Institute for High Temperatures

    Moscow, Russia

    4 h-index

    4 publications

    122 citations

  4. Universidad Nacional Autónoma de México

    Mexico City, Mexico

    3 h-index

    8 publications

    131 citations

  5. ABB (Switzerland)

    Zurich, Switzerland

    2 h-index

    2 publications

    114 citations

  6. Australian National University

    Canberra, Australia

    2 h-index

    2 publications

    74 citations

  7. The University of Tokyo

    Tokyo, Japan

    2 h-index

    2 publications

    55 citations

  8. The Ohio State University

    Columbus, United States

    2 h-index

    4 publications

    94 citations

1–8 of 103

Venues

  1. Nuclear Science and Engineering

    9 publications · 277 citations

    9

    h-index

  2. Journal of Heat Transfer

    6 publications · 141 citations

    6

    h-index

  3. 4

    h-index

  4. 3

    h-index

  5. Journal of Quantitative Spectroscopy and Radiative Transfer

    JQSRT · 3 publications · 188 citations

    3

    h-index

1–5