1 / 15

Numerical methods for solidification

Numerical methods for solidification. Kees Verhoeven. http://www.win.tue.nl/~keesverh/presentations/presnumlab.pdf. Project ‘Laser percussion drilling’ see http://www.win.tue.nl/~keesverh/ can be divided in. Melting Splashing

erno
Download Presentation

Numerical methods for solidification

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Numerical methods for solidification Kees Verhoeven http://www.win.tue.nl/~keesverh/presentations/presnumlab.pdf

  2. Project ‘Laser percussion drilling’see http://www.win.tue.nl/~keesverh/can be divided in • Melting • Splashing • Solidificationsee http://www.win.tue.nl/~keesverh/presentations/presaday.ppt

  3. Solidification • Unknowns: • Equations: • Conservation of mass • Burgers’ equation • Heat equation

  4. Numerics of solidification model(Software to be found in NumLab oml-toolbox version 2.12) FEM Sepran (Fortran) SLM Burgers C++ SLM Mass C++ Software for boxed part is shown on next slide, green arrows indicate usage of splines

  5. SLM-part: verhoeven library • Consists of: • MInit : initialization of u and h • MUpdateU : SLM for Burgers equation • MUpdateH : SLM for mass equation • These two specific implementations are typical for my • research, but can be changed easily. • MDFxLimiter : defines the slope limiter function used in a SLM • MIteration : comprised of MDFxLimiter (2x), MUpdateU and MUpdateH

  6. SLM-part: verhoeven library Part of verhoeven-3d.sav.C, use of Mloop can be seen in network.

  7. Side step: generate MPEG using VTK-library Part of verhoeven-3d-with-mpeg.sav.C

  8. Numerics of solidification model FEM Sepran (Fortran) SLM Burgers C++ SLM Mass C++ Green arrows indicate usage of splines

  9. Splines • pppack (piecewise polynomial package)from www.netlib.org (* = d/s) • Above indicated part of pppack can be found in library pppackoperators • This code is made available through wrapping Fortran source code, like in the oml-toolbox *cubspl.f to determine splines *ppvalu.f to evaluate spline *interv.f needed for *ppvalu

  10. pppackoperators/sources For every *.f a .h-file is made in the following way. dcubspl.f: subroutine dcubspl(tau, c, n, ibcbeg, ibcend) … dcubspl.h: void F77NAME(dcubspl)(const double *tau, double *c, const int *n, const int *ibcbeg, const int *ibcend);

  11. pppackoperators/classes/NDSpline.cc • constructor • NDSpline([xi],[C],ibcbeg,ibcend); • uses definition of dcubspl.h: • void F77NAME(dcubspl)(_tau->getValue(), • c->getValue(), &n, &ibcbeg, &ibcend); • operator() uses definition of dppvalu.h: • void F77NAME(dppvalu)(tau.getValue(), • c.getValue(), &l, &k, &x, &_j);

  12. pppackoperators/modules/MDSpline.cc • constructor now uses more user friendly input args: • MDSpline(z,x,[xi],[fxi],ibcbeg,begval, • ibcend,endval); • derives right C and calls NDSpline callback: • spline->callback(xi,left_derivative, • right_derivative);

  13. pppackoperators/modules/MDSpline.mh Generates: x [xi] [fxi] ibcbeg begval ibcend endval z

  14. Network showing usage of MDSpline

  15. Network showing usage of sampling Note that evaluation points are fed to MDSpline from below. (Seespline-with-vis.sav.C)

More Related