Concepedia

Conservative Formulations

Conservative Formulations is a mathematical framework within the primitive equations that expresses the continuity equation in a form preserving the conservation of mass, momentum, and energy by ensuring fluxes are balanced through divergence operators in a closed system.

454

Publications

26.8K

Citations

944

Authors

510

Institutions

Publications per year

2017–2026

92

Parents

Publications

454

Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme

Bram van Leer · Journal of Computational Physics · 1974 · 2.2K citations

, , +14

Towards the Ultimate Conservative Difference Scheme

Bram van Leer · Journal of Computational Physics · 1997 · 1.3K citations

, , +5

Conservative physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems

Ameya D. Jagtap, Ehsan Kharazmi, George Em Karniadakis · Computer Methods in Applied Mechanics and Engineering · 2020 · 1.1K citations · Full text

, , +16

Total alkalinity: The explicit conservative expression and its application to biogeochemical processes

Dieter Wolf‐Gladrow, Richard E. Zeebe, Christine Klaas et al. · Marine Chemistry · 2007 · 818 citations · Full text

, , +12

Variational and momentum preservation aspects of Smooth Particle Hydrodynamic formulations

Javier Bonet, T. S. Lok · Computer Methods in Applied Mechanics and Engineering · 1999 · 814 citations

, , +14

1–5 of 454

Authors

944

  1. FX
    Feng Xiao

    Tokyo Institute of Technology, Japan

    4 publications · 226 citations

    4

    h-index

  2. GL
    Gary L. Anderson

    University of Louisville, United States

    3 publications · 69 citations

    3

    h-index

  3. SS
    Shuyu Sun

    King Abdullah University of Science and Technology, Saudi Arabia

    3 publications · 89 citations

    3

    h-index

  4. CS
    Chi‐Wang Shu

    Brown University, United States

    3 publications · 202 citations

    3

    h-index

  5. HG
    Hyun Geun Lee

    Korea University, South Korea

    3 publications · 99 citations

    3

    h-index

1–5 of 944

Institutions

510

  1. Centre National de la Recherche Scientifique

    Paris, France

    15 h-index

    29 publications

    1.5K citations

  2. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    8 h-index

    11 publications

    1.1K citations

  3. University of Trento

    Trento, Italy

    7 h-index

    12 publications

    591 citations

  4. Nagoya University

    Nagoya, Japan

    7 h-index

    15 publications

    410 citations

  5. Tokyo Institute of Technology

    Tokyo, Japan

    6 h-index

    12 publications

    642 citations

  6. Sorbonne Université

    Paris, France

    6 h-index

    10 publications

    423 citations

  7. The University of Texas at Austin

    Austin, United States

    6 h-index

    11 publications

    300 citations

  8. Stanford University

    Stanford, United States

    6 h-index

    12 publications

    510 citations

1–8 of 510

Venues

  1. Journal of Computational Physics

    48 publications · 6.2K citations

    28

    h-index

  2. 15

    h-index

  3. 11

    h-index

  4. Journal of Scientific Computing

    9 publications · 329 citations

    9

    h-index

  5. 8

    h-index

1–5