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We employ a Lagrangian-Lagrangian (LL) numerical formalism to study twoand three-dimensional (2D, 3D) pipe flow of dilute suspensions of macroscopic neutrally buoyant rigid bodies at flow regimes with Reynolds numbers (Re) between 0.1 and 1400. A validation study of particle migration over a wide spectrum of Re and average volumetric concentrations(More)
This paper describes a numerical method for the parallel solution of the differential measure inclusion problem posed by mechanical multibody systems containing bilateral and unilateral frictional constraints. The method proposed has been implemented as a set of parallel algorithms leveraging NVIDIA’s Compute Unified Device Architecture (CUDA) library(More)
by Dan Negrut , Radu Serban , and Florian A. Potra December, 1995 Abstract In the present paper a new approach for solving for the accelerations and Lagrange multipliers when integrating multibody systems in descriptor form is given. When solving for these unknowns, the coefficient matrix of the linear system to be solved has the particular form of an(More)
The last decade witnessed a manifest shift in the microprocessor industry towards chip designs that promote parallel computing. Until recently the privilege of a select group of large research centers, Teraflop computing is becoming a commodity owing to inexpensive GPU cards and multi to many-core x86 processors. This paradigm shift towards large scale(More)
When performing dynamic analysis of a constrained mechanical system, a set of index 3 differential algebraic equations (DAE) describes the time evolution of the model. This paper presents a state space DAE solution framework that can embed an arbitrary implicit ordinary differential equations (ODE) code for numerical integration of a reduced set of state(More)
Many-body dynamics problems are expected to handle millions of unknowns when, for instance, investigating the three-dimensional flow of granular material. Unfortunately, the size of the problems tractable by existing numerical solution techniques is severely limited on convergence grounds. This is typically the case when the equations of motion embed a(More)
When performing dynamic analysis of a constrained mechanical system, a set of index three differential-algebraic equations (DAE) describes the time evolution of the system. The paper presents a state space based method for the numerical solution of the resulting DAE. A subset of so-called independent generalized coordinates, equal in number to the number of(More)
In the context of simulating the frictional contact dynamics of large systems of rigid bodies, this paper reviews a novel method for solving large cone complementarity problems by means of a fixed-point iteration algorithm. The method is an extension of the Gauss-Seidel and Gauss-Jacobi methods with overrelaxation for symmetric convex linear complementarity(More)
This paper presents a variable step size implicit numerical integration algorithm for dynamic analysis of stiff multibody systems. Stiff problems are very common in real world applications, and their numerical treatment by means of explicit integration is cumbersome or infeasible. Until recently, implicit numerical integration of the equations of motion of(More)