@article { author = {Alamatian, E. and Jaefarzadeh, M.R.}, title = {Simulation of the Steady Shocks using Finite Volume and Finite Difference Methods}, journal = {Journal of Hydraulics}, volume = {4}, number = {1}, pages = {109-116}, year = {2009}, publisher = {Iranian Hydraulic Association}, issn = {2345-4237}, eissn = {2645-8063}, doi = {10.30482/jhyd.2009.85517}, abstract = {In this article the behavior of steady oblique shocks in open channels is studied using both the finitevolume (FVM) and the finite difference (FDM) methods. In the FVM, the Van Leer scheme with anadvanced slope limiting function is implemented on unstructured triangular grids. The bed slope ismodeled using an upwind method including a modified hydrostatic pressure term. The Manningequation is used for the bed friction and the mixing length is applied for turbulence modeling. In theFDM, the two step MacCormack scheme with the Jameson's artificial viscosity algorithm is applied.These schemes are used to simulate the oblique shocks produced by a lateral barrier in an openchannel. comparison of the numerical results with laboratory measurements proves robustness of boththe schemes in simulation of shock fronts. However the Van Leer scheme is more consistent withexperimental findings.}, keywords = {}, title_fa = {شبیه سازی امواج تیز ایستا با استفاده از روشهای حجم محدود و تفاضل محدود}, abstract_fa = {}, keywords_fa = {}, url = {https://jhyd.iha.ir/article_85517.html}, eprint = {https://jhyd.iha.ir/article_85517_72dfe22aae62dbf3777c6ab4d56123fd.pdf} }