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Representing Attitude: Euler Angles, Unit Quaternions, and Rotation Vectors James Diebel Stanford University Stanford, California 94301–9010 Email: [email protected]

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FOA-R--00-01502-311--SE April 2000 ISSN 1104-9154 Methodology Report Mattias Unosson, Eric Buzaud Scalar and Vectorized User Defined Material Routines in LS-DYNA Weapons…

Documents Eric Johnsen and Tim Colonius- Numerical simulations of non-spherical bubble collapse

NIH Public Access Author Manuscript J Fluid Mech. Author manuscript; available in PMC 2009 September 14. Published in final edited form as: J Fluid Mech. 2009 June 1; 629:…

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ASCI VIRTUAL PROTOTYPING OF SOLID PROPELLANT ROCKETS Researchers seek a detailed, whole-system simulation of solid propellant rockets under normal and abnormal operating…

Documents Numerical methods 1 An Introduction to Numerical Methods For Weather Prediction by Joerg Urban...

Slide 1Numerical methods 1 An Introduction to Numerical Methods For Weather Prediction by Joerg Urban office 012 Based on lectures given by Mariano Hortal Slide 2 Numerical…

Documents Finite differences1. 2 Introduction 1j-1jj+12NN+1 Taylor series expansion:

Slide 1Finite differences1 Slide 2 2 Introduction 1j-1jj+12NN+1 Taylor series expansion: Slide 3 Finite differences3 Finite differences approximations forward approximation…

Documents PARMA UNIVERSITY SIMULATIONS OF THE ISOLATED BUILDING TEST CASE F. AURELI, A. MARANZONI & P. MIGNOSA...

Slide 1PARMA UNIVERSITY SIMULATIONS OF THE ISOLATED BUILDING TEST CASE F. AURELI, A. MARANZONI & P. MIGNOSA DICATeA, Parma University Parco Area delle Scienze 181/A –…

Documents Coupling Heterogeneous Models with Non-matching Meshes Modeling for Matching Meshes with Existing...

Slide 1Coupling Heterogeneous Models with Non-matching Meshes Modeling for Matching Meshes with Existing Staggered Methods and Silent Boundaries Mike Ross Center for Aerospace…

Documents Solute Transport Numerical Methods

Solute Transport Equation Form • Consider the finite difference approximation to the one-dimensional transport (or convection-diffusion) equation: h or in more succinct…

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Multiscale discretizations for multiphase porous media flow coupled with geomechanics Ivan Yotov†, Mary F. Wheeler‡, Guangri Xue‡, Benjamin Ganis‡, Bin Wang‡ †…