Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
CODE VERIFICATION TEST IN CALCULATIONS AROUND JUMP SINGULARITIES
Submission Author:
Homero Silva , MG
Co-Authors:
Homero Silva
Presenter: Homero Silva
doi://10.26678/ABCM.COBEM2019.COB2019-2274
Abstract
In this paper, a verification test using the method of manufactured solution (MMS) of code that calculates derivative of bi or tri dimentionals functions with jump singularities is presented. Calculations around of jump singularities can be good methodology to simulate a tridimentional flow that contains immersed surface. It has been intitled of immersed interface method (IIM). This is an alternative to the stablished immersed boundary method (IBM) and presents the folowing advantages: to guarantee the order of accuracy implemented in the code; it doesn’t use interpolation polinomial between Eulerian and Lagrangean meshes and it permises to use only retangular mesh to simulation the complex geometry. In this paper, it is presented a mesh refinement test and an error analysis, recording the order of accuracy implemented in the code. First of all, the derivative of sine function with a jump singularitie was performed using expicit finite difference schemes of second order of accuracy and results was discussed. The results shows that it is possible to garantee the order of accuracy on all the domain, inclusive around of jump. For the event, it will be presented this calculation using compact finite difference schemes of 6th order of accuracy to two dimensional jump singularities in a function at two variables. This calculation routine could be used, for example, to simulation the laminar turbulent transition flow that poses a immersed surface modeling a perturbation inside of the flow in Plane Poiseuille. And so what the effects that leads on the temporal evolution of Tolmien-Schillichting waves.
Keywords
Immersed Interface Method, method of manufactured solution, finite difference schemes
