Download PDF by Steven B. Karch MD FFFLM: Computational Granular Dynamics: Models and Algorithms

By Steven B. Karch MD FFFLM

ISBN-10: 1420054511

ISBN-13: 9781420054514

Laptop Simulations belong to an important tools for the theoretical research of granular fabrics. the current publication is meant to function an creation to the sphere. hence emphasis is on a normal figuring out of the topic instead of at the presentation of up to date advances in numerical algorithms. For the knowledge of the numerical tools and algorithms uncomplicated wisdom of C++ is required, but the textual content has been saved obtainable additionally for readers who, ultimately, want a special programming language. whereas the e-book is extra on versions than at the physics of granular fabric, many aplications to genuine platforms are awarded.

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The description of this function is postponed to Sect. 3. For the case of the simple algorithm, the function init_algorithm() which is called next is empty. For more sophisticated algorithms, as described in Sect. 4, this function serves for the initialization of some algorithm-specific variables. In the main loop of the program, starting at line 27, the function step() is called for all nstep time steps. , the particle positions, velocities, and some further values to the output file. As an example for on-the-fly data processing, the total kinetic energy of the system is computed by total_kinetic_energy() and written to the file fenergy.

The particle indices at the left wall are even numbers, at the right wall they are odd. This particle type was used to simulate the vertical walls in Fig. 6. Boundary conditions which contain the particle index require enumeration of the particles in a certain sequence. Here the vertical container walls have the first index numbers in the system. One can easily define more particle types by adding more cases to the switch statement in boundary_conditions(). The examples shown are only meant to demonstrate how to implement the desired boundary conditions.

H. h> 9 10 using namespace std; 11 12 13 extern double lx, ly; extern double x_0, y_0; 14 15 16 17 18 extern extern extern extern unsigned int no_of_particles; double Time; ofstream fphase; ofstream fenergy; 19 20 21 22 23 24 25 void step(); void make_forces(); void integrate(); void init_algorithm(); void phase_plot(ostream & os); #endif After including the necessary standard headers, the system size lx, ly and the position of the lower-left corner x_0 and y_0 are defined.

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Computational Granular Dynamics: Models and Algorithms by Steven B. Karch MD FFFLM

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