TY - JOUR
ID - 24688
TI - A modified flux-wave formula for the solution of one-dimensional Euler equations with gravitational source term
JO - Iranian Journal of Numerical Analysis and Optimization
JA - IJNAO
LA - en
SN - 2423-6977
AU - Mahdizadeh, H.
AD - University of Birjand
Y1 - 2018
PY - 2018
VL - 8
IS - 2
SP - 25
EP - 38
KW - Wave propagation algorithm
KW - Flux wave formula
KW - Riemann solver
KW - Well-Balanced
KW - Euler equations
DO - 10.22067/ijnao.v8i2.59531
N2 - In this paper a novel Godunov-type finite volume technique is presented for the solution of one-dimensional Euler equations. The numerical scheme defined herein in is well-balanced and approximates the solution by propa gating a set of jump discontinuities from each Riemann cell interface. The corresponding source terms are then treated within the flux-differencing of the finite volume computational cells. First, the capability of the numerical solver under gravitational source term is examined and the results are val dated with reference solution and higher-order WENO scheme. Then, the well-balanced property of the scheme for the steady-state is tested and finally the proposed method is employed for the modeling small and large amplitude perturbation imposed to the polytropic atmosphere. It is found out that the defined well-balanced solver provides sensible prediction for all of the given test cases.
UR - https://ijnao.um.ac.ir/article_24688.html
L1 - https://ijnao.um.ac.ir/article_24688_c514b343ed546e7b14c1239f7654e2f9.pdf
ER -