A novel physics-based preconditioner for nodal integral method using JFNK for 2D Burgers equation

Progress in Nuclear Energy ◽

10.1016/j.pnucene.2021.103668 ◽

2021 ◽

Vol 134 ◽

pp. 103668

Author(s):

Niteen Kumar ◽

Suneet Singh

Keyword(s):

Integral Method ◽

Burgers Equation ◽

Nodal Integral Method

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An Efficient Formulation of the Modified Nodal Integral Method and Application to the Two-Dimensional Burgers’ Equation

Nuclear Science and Engineering ◽

10.13182/nse01-a2239 ◽

2001 ◽

Vol 139 (3) ◽

pp. 293-305 ◽

Author(s):

Bradley L. Wescott ◽

Rizwan-uddin

Keyword(s):

Integral Method ◽

Burgers Equation ◽

Two Dimensional ◽

Nodal Integral Method

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Physics-based preconditioning of Jacobian free Newton Krylov for Burgers’ equation using modified nodal integral method

Progress in Nuclear Energy ◽

10.1016/j.pnucene.2019.103104 ◽

2019 ◽

Vol 117 ◽

pp. 103104

Author(s):

Niteen Kumar ◽

Rudrodip Majumdar ◽

Suneet Singh

Keyword(s):

Integral Method ◽

Burgers Equation ◽

Nodal Integral Method

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Predictor–Corrector Nodal Integral Method for simulation of high Reynolds number fluid flow using larger time steps in Burgers ’ equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2019.09.001 ◽

2020 ◽

Vol 79 (5) ◽

pp. 1362-1381

Author(s):

Niteen Kumar ◽

Rudrodip Majumdar ◽

Suneet Singh

Keyword(s):

Reynolds Number ◽

Integral Method ◽

High Reynolds Number ◽

Burgers Equation ◽

High Reynolds ◽

Nodal Integral Method ◽

Predictor Corrector

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An Upwind Nodal Integral Method for Incompressible Fluid Flow

Nuclear Science and Engineering ◽

10.13182/nse93-a24011 ◽

1993 ◽

Vol 114 (1) ◽

pp. 20-35 ◽

Author(s):

Peter D. Esser ◽

Robert J. Witt

Keyword(s):

Incompressible Fluid ◽

Integral Method ◽

Incompressible Fluid Flow ◽

Nodal Integral Method

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Nodal Integral method for multi-group neutron diffusion equation in three dimensional cylindrical coordinate system

Annals of Nuclear Energy ◽

10.1016/j.anucene.2020.107904 ◽

2021 ◽

Vol 151 ◽

pp. 107904

Author(s):

Manish Raj ◽

Suneet Singh

Keyword(s):

Diffusion Equation ◽

Coordinate System ◽

Integral Method ◽

Three Dimensional ◽

Cylindrical Coordinate System ◽

Neutron Diffusion ◽

Cylindrical Coordinate ◽

Nodal Integral Method ◽

Neutron Diffusion Equation

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A nonstandard difference-integral method for the viscous Burgers’ equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.11.021 ◽

2008 ◽

Vol 200 (1) ◽

pp. 378-386 ◽

Author(s):

Silvia Jerez

Keyword(s):

Integral Method ◽

Burgers Equation

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NODAL INTEGRAL METHOD FOR COMPLEX GEOMTRIES USING HIGHER ORDER ELEMENTS

10.1615/ihmtc-2017.3130 ◽

2018 ◽

Author(s):

Rishabh Prakash Sharma ◽

Neeraj Kumar

Keyword(s):

Integral Method ◽

Higher Order ◽

Nodal Integral Method

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Nodal Integral Method Using Quadrilateral Elements for Transport Equations: Part 2-Navier-Stokes Equations

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790.2013.784124 ◽

2013 ◽

Vol 64 (1) ◽

pp. 22-47 ◽

Author(s):

Neeraj Kumar ◽

Suneet Singh ◽

J. B. Doshi

Keyword(s):

Integral Method ◽

Stokes Equations ◽

Transport Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Quadrilateral Elements ◽

Nodal Integral Method

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Error Analysis of the Nodal Integral Method for Solving the Neutron Diffusion Equation in Two-Dimensional Cartesian Geometry

Nuclear Science and Engineering ◽

10.13182/nse162-215 ◽

2009 ◽

Vol 162 (3) ◽

pp. 215-233

Author(s):

R. M. Ferrer ◽

Y. Y. Azmy

Keyword(s):

Diffusion Equation ◽

Error Analysis ◽

Integral Method ◽

Neutron Diffusion ◽

Two Dimensional ◽

Cartesian Geometry ◽

Nodal Integral Method ◽

Neutron Diffusion Equation

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Nodal integral method for convection-diffusion transport using linear and higher order quadrilateral elements

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790.2018.1523596 ◽

2018 ◽

Vol 74 (3) ◽

pp. 623-645 ◽

Author(s):

Rishabh Prakash Sharma ◽

Neeraj Kumar

Keyword(s):

Integral Method ◽

Higher Order ◽

Diffusion Transport ◽

Convection Diffusion ◽

Quadrilateral Elements ◽

Nodal Integral Method

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