Well-Balanced Formulation of Gravitational Source Terms for Conservative Finite-Difference Atmospheric Flow Solvers

7th AIAA Atmospheric and Space Environments Conference ◽

10.2514/6.2015-2889 ◽

2015 ◽

Cited By ~ 4

Author(s):

Debojyoti Ghosh ◽

Emil M. Constantinescu

Keyword(s):

Finite Difference ◽

Source Terms ◽

Atmospheric Flow ◽

Gravitational Source

Download Full-text

Finite-difference schemes for scalar conservation laws with source terms

IMA Journal of Numerical Analysis ◽

10.1093/imanum/16.2.201 ◽

1996 ◽

Vol 16 (2) ◽

pp. 201-215 ◽

Cited By ~ 12

Author(s):

H. Schroll

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Source Terms ◽

Scalar Conservation Laws ◽

Scalar Conservation

Download Full-text

A finite-difference scheme for a coupled system of singularly perturbed time-dependent reaction–diffusion equations with discontinuous source terms

International Journal of Computer Mathematics ◽

10.1080/00207160.2020.1733538 ◽

2020 ◽

pp. 1-16

Author(s):

K. Aarthika ◽

V. Shanthi ◽

Higinio Ramos

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Coupled System ◽

Reaction Diffusion Equations ◽

Singularly Perturbed ◽

Time Dependent ◽

Diffusion Equations ◽

Source Terms

Download Full-text

Finite difference methods for discretizing singular source terms in a Poisson interface problem

Nonlinear Partial Differential Equations and Hyperbolic Wave Phenomena - Contemporary Mathematics ◽

10.1090/conm/526/10389 ◽

2010 ◽

pp. 359-389 ◽

Cited By ~ 2

Author(s):

John D. Towers

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Interface Problem ◽

Source Terms ◽

Singular Source ◽

Difference Methods

Download Full-text

Atmospheric flow modelling using some finite difference methods

10.1063/1.5043673 ◽

2018 ◽

Cited By ~ 1

Author(s):

Appanah Rao Appadu

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

Atmospheric Flow ◽

Flow Modelling ◽

Difference Methods

Download Full-text

High-Order Well-Balanced Finite Difference WENO Schemes for a Class of Hyperbolic Systems with Source Terms

Journal of Scientific Computing ◽

10.1007/s10915-005-9027-y ◽

2005 ◽

Vol 27 (1-3) ◽

pp. 477-494 ◽

Cited By ~ 37

Author(s):

Yulong Xing ◽

Chi-Wang Shu

Keyword(s):

Finite Difference ◽

Hyperbolic Systems ◽

High Order ◽

Source Terms ◽

Weno Schemes ◽

Finite Difference Weno Schemes

Download Full-text

High order finite difference methods with subcell resolution for advection equations with stiff source terms

Journal of Computational Physics ◽

10.1016/j.jcp.2011.08.031 ◽

2012 ◽

Vol 231 (1) ◽

pp. 190-214 ◽

Cited By ~ 37

Author(s):

Wei Wang ◽

Chi-Wang Shu ◽

H.C. Yee ◽

Björn Sjögreen

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

High Order ◽

Source Terms ◽

Difference Methods ◽

High Order Finite Difference

Download Full-text

Optimized composite finite difference schemes for atmospheric flow modeling

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22407 ◽

2019 ◽

Vol 35 (6) ◽

pp. 2171-2192

Author(s):

Appanah Rao Appadu

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Flow Modeling ◽

Atmospheric Flow

Download Full-text

High Order Finite Difference Methods with Subcell Resolution for Advection Equations with Stiff Source Terms

10.21236/ada557706 ◽

2011 ◽

Cited By ~ 1

Author(s):

Wei Wang ◽

Chi-Wang Shu ◽

H. C. Yee ◽

Bjoern Sjoegreen

Keyword(s):

Finite Difference ◽

Finite Difference Methods ◽

High Order ◽

Source Terms ◽

Difference Methods ◽

High Order Finite Difference

Download Full-text

Error bounds of finite difference schemes for multi-dimensional scalar conservation laws with source terms

IMA Journal of Numerical Analysis ◽

10.1093/imanum/19.1.77 ◽

1999 ◽

Vol 19 (1) ◽

pp. 77-89 ◽

Cited By ~ 3

Author(s):

W Shen

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Error Bounds ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Source Terms ◽

Scalar Conservation Laws ◽

Scalar Conservation

Download Full-text

Integral and Finite Difference Inequalities and Applications

10.1016/s0304-0208(06)x8012-x ◽

2006 ◽

Keyword(s):

Finite Difference

Download Full-text