TY - JOUR
ID - 102016
TI - An upwind local radial basis functions-finite difference (RBF-FD) method for solving compressible Euler equation with application in finite-rate Chemistry
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - Abbaszadeh, Mostafa
AU - Dehghan, Mehdi
AU - Karamali, Gholamreza
AD - Amirkabir University of Technology, Tehran, Iran, Faculty of Mathematics and Computer
AD - Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences,
Amirkabir University of Technology,
AD - Faculty of Basic Sciences, Shahid Sattari Aeronautical University of Sience and Technology,
South Mehrabad
Y1 - 2019
PY - 2019
VL - 10
IS - 3
SP - 251
EP - 267
KW - Meshless Method
KW - radial basis functions-finite difference (RBF-FD) technique
KW - Compressible Euler equation
KW - finite-rate Chemistry
DO - 10.22052/ijmc.2017.106402.1325
N2 - The main aim of the current paper is to propose an upwind local radial basis functions-finite difference (RBF-FD) method for solving compressible Euler equation. The mathematical formulation of chemically reacting, inviscid, unsteady flows with species conservation equations and finite-rate chemistry is studied. The presented technique is based on the developed idea in [58]. For checking the ability of the new procedure, the compressible Euler equation is solved. This equation has been classified in category of system of advection-diffusion equations. The solutions of advection equations have some shock, thus, special numerical methods should be applied for example discontinuous Galerkin and finite volume methods. Moreover, two problems are given that show the acceptable accuracy and efficiency of the proposed scheme.
UR - https://ijmc.kashanu.ac.ir/article_102016.html
L1 - https://ijmc.kashanu.ac.ir/article_102016_fe02c8a051aaaa92b3f3b7472e632fba.pdf
ER -