By Gernot Beer

ISBN-10: 1138026344

ISBN-13: 9781138026346

ISBN-10: 1315766310

ISBN-13: 9781315766317

This publication is an enjoyable, effortless to learn advent to complicated numerical modeling. the purpose of the ebook is to steer the reader on a trip in the direction of the ‘holy grail’ of numerical simulation, particularly one with out the requirement of mesh iteration, that takes info without delay from CAD courses. in this trip readers will realize the wonderful thing about Non-uniform Rational B-Splines or NURBS and notice how good they're suited to describing geometry, notice how CAD courses paintings and the way their facts can be utilized for simulation. The implementation of NURBS-based simulation is mentioned utilizing Finite point and Boundary point know-how. this can be a hands-on booklet with emphasis on implementation and examples of programming in a better point language are given. it's been written for clients of simulation software program, to allow them to comprehend the advantages of this new know-how and insist growth from a a little bit conservative undefined, for software program builders, to allow them to see that it is a know-how with a major destiny and for researchers, within the wish that it'll allure extra humans to paintings during this intriguing new box.

**Read or Download Advanced numerical simulation methods : from CAD data directly to simulation results PDF**

**Similar computer simulation books**

The Neural Simulation Language (NSL), built via Alfredo Weitzenfeld, Michael Arbib, and Amanda Alexander, offers a simulation setting for modular mind modeling. NSL is an object-oriented language delivering object-oriented protocols acceptable to all degrees of neural simulation. one in every of NSL's major strengths is that it makes it possible for real looking modeling of the anatomy of macroscopic mind buildings.

**New PDF release: Simulation with Arena**

Simulation with area offers a finished therapy of simulation utilizing industry-standard enviornment software program. The textbook starts through having the reader increase easy high-level types, after which progresses to complicated modeling and research. Statistical layout and research of simulation experiments is built-in with the modeling chapters, reflecting the significance of mathematical modeling of those actions.

**New PDF release: The LabVIEW Style Book (National Instruments Virtual**

&> Drawing at the reviews of a world-class LabVIEW improvement association, The LabVIEW sort ebook is the definitive consultant to most sensible practices in LabVIEW improvement. major LabVIEW improvement supervisor Peter A. Blume offers useful instructions or “rules” for optimizing each part of your functions: ease of use, potency, clarity, simplicity, functionality, maintainability, and robustness.

Clever keep watch over considers non-traditional modelling and keep an eye on methods to nonlinear structures. Fuzzy good judgment, neural networks and evolutionary computing suggestions are the most instruments used. The ebook offers a modular switching fuzzy good judgment controller the place a PD-type fuzzy controller is performed first by means of a PI-type fuzzy controller therefore bettering the functionality of the controller in comparison with a PID-type fuzzy controller.

- Convex Analysis and Global Optimization
- Pedestrian and Evacuation Dynamics 2012
- Modeling and Using Context: 6th International and Interdisciplinary Conference, CONTEXT 2007, Roskilde, Denmark, August 20-24, 2007, Proceedings
- Mathematische Modellierung. Grundprinzipien in Natur- und Ingenieurwissenschaften
- Scientific Modeling and Simulations (Lecture Notes in Computational Science and Engineering)

**Additional resources for Advanced numerical simulation methods : from CAD data directly to simulation results**

**Sample text**

We keep here to the definition in the book Isogeometric Analysis. Stage 1: Basis functions 19 Figure 2 Lagrange function derivatives for orders 2 to 4. Substitution of the ξ1 = −1 and ξ2 = 1 into equation 5 gives 1 (1 − ξ) 2 1 N2 (ξ) = (1 + ξ) 2 N1 (ξ) = (6) For a quadratic interpolation we have p = 2 and I = 3: N1 (ξ) = ξ − ξ1 ξ − ξ3 ξ − ξ2 ξ − ξ3 ξ − ξ1 ξ − ξ2 · ; N2 (ξ) = · ; N3 (ξ) = · (7) ξ 2 − ξ 1 ξ1 − ξ 3 ξ1 − ξ 2 ξ 2 − ξ 3 ξ3 − ξ 1 ξ 3 − ξ 1 20 Advanced numerical simulation methods Figure 3 Example of interpolation between 4 points with Lagrange polynomials of order 3.

Here we only introduce the OCTAVE functions for determining the values of NURBS at parametric points. Other functions will be introduced in the next chapters as required. A few remarks on the software are appropriate here. The functions take homogeneous coordinates/parameters at the control points as input. This means that they have to be multiplied by the weights before being supplied to the function. The functions assume that the entries in knot vector range from 0 to 1. Knot vectors can be supplied with different range of entries but are changed internally.

Parametric points % For individual points: % NURBS curves: % Array of size (number of points= npoints) % t (n)=u 50 Advanced numerical simulation methods % NURBS surfaces: Array of size (2, npoints) % t (1, n)= u, t (2, n)= v % Points on a grid nu*nv % 2 arrays of size (number of points in u/v directions) % {u(n), v(n)} % nurbs ... NURBS structure % % Output: % Ru(1:npoints,1:nbf) ... first derivative to u of basis functions % NURBS surfaces only: % Rv(1:points,1:nbf) ... first derivative to v of basis functions % idx(1:npnts,1:nbf) ...

### Advanced numerical simulation methods : from CAD data directly to simulation results by Gernot Beer

by Donald

4.5