Many relationships in process engineering can only be described by nonlinear equations or differential equations and cannot be solved analytically or only with increased effort. Therefore, numerical approaches must be used to represent these relationships. The course teaches the basics of numerical methods using examples and applications from process engineering. This includes the solution of
The same or similar methods are also used in commercial software and by implementing the solution algorithms independently, the problems and limitations of these methods can be understood and also recognized and better assigned in a later application (e.g. CFD). In the course we will work mainly with Python but also with Excel. Within the course, homework will be worked on, on the basis of which the grading will take place.
Mahusiano mengi katika uhandisi wa mchakato yanaweza kuelezwa tu na equations nonlinear au differential equations na haiwezi kutatuliwa analytically au tu na juhudi kuongezeka. Kwa hiyo, mbinu za tarakimu lazima zitumiwe kuwakilisha mahusiano haya. Kozi inafundisha misingi ya mbinu za tarakimu kwa kutumia mifano na maombi kutoka uhandisi wa mchakato. Njia sawa au sawa hutumiwa katika programu ya kibiashara na kwa kutekeleza algorithms ya ufumbuzi kwa kujitegemea, matatizo na mapungufu ya mbinu hizi yanaweza kueleweka na pia kutambuliwa na kupewa bora katika maombi ya baadaye. CFDs (CFDs) Katika kozi tutakuwa kufanya kazi hasa na Python lakini pia na Excel. Ndani ya kozi, kazi ya nyumbani itafanywa, kwa msingi wa ambayo kiwango kitafanyika.