Efficient Solution Procedure of Geometric Programming Problems with Single-term Constraint Equations

1994 ◽  
Vol 37 (5) ◽  
pp. 1679-1689
Author(s):  
K. Holtorf ◽  
D. Jones ◽  
D. Schulte
Keyword(s):  
Geometric Programming ◽  
Efficient Solution ◽  
Solution Procedure ◽  
Constraint Equations ◽  
Single Term

Refined Softened Truss Model with Efficient Solution Procedure for Prestressed Concrete Membranes

2018 ◽  
Vol 144 (6) ◽  
pp. 04018045 ◽  
Author(s):  
L. F. A. Bernardo ◽  
A. R. B. Lyrio ◽  
J. R. B. Silva ◽  
B. Horowitz
Keyword(s):  
Prestressed Concrete ◽  
Efficient Solution ◽  
Solution Procedure ◽  
Truss Model

Simulations of Transonic Diffuser-Volute System Using Hybrid Unstructured CFD

2000 ◽  
Author(s):  
A. Hosangadi ◽  
V. Ahuja ◽  
Y. T. Lee
Keyword(s):  
Transonic Flow ◽  
Numerical Stability ◽  
Efficient Solution ◽  
Solution Procedure ◽  
Flow Conditions ◽  
Vaneless Diffuser ◽  
Parallel Solution ◽  
Water Region ◽  
Good Comparison ◽  
Comparison With Experimental Data

Abstract Simulations for a vaneless diffuser-volute configuration at transonic flow conditions are presented using a multi-element unstructured CFD code CRUNCH. The unstructured framework permits the generation of a contiguous grid without internal boundaries between the diffuser-volute interface, and also provides good local resolution around the cut-water region. The increased numerical stability resulting from these factors coupled with the parallel solution framework yields an efficient solution procedure. Numerical results indicate good comparison with experimental data for the baseline geometry where the measured performance was below the design prediction.

scholarly journals Non-conserving Flow Aspect of Maximum Dynamic Flow Problem

2018 ◽  
Vol 14 (1) ◽  
pp. 107-114
Author(s):  
Phanindra Prasad Bhandari ◽  
Shree Ram Khadka
Keyword(s):  
Network Flow ◽  
Efficient Solution ◽  
Flow Problem ◽  
Dynamic Network ◽  
Maximum Flow ◽  
Solution Procedure ◽  
Evacuation Planning ◽  
Planning Problem ◽  
Intermediate Node ◽  
Flow Conservation

Shifting as many people as possible from disastrous area to safer area in a minimum time period in an efficient way is an evacuation planning problem (EPP). Modeling the evacuation scenarios reflecting the real world characteristics and investigation of an efficient solution to them have become a crucial due to rapidly increasing number of natural as well as human created disasters. EPPs modeled on network have been extensively studied and the various efficient solution procedures have been established where the flow function satisfies the flow conservation at each intermediate node. Besides this, the network flow problem in which flow may not be conserved at nodes necessarily could also be useful to model the evacuation planning problem. This paper proposes an efficient solution procedure for maximum flow evacuation planning problem of later kind on a single-source-single-sink dynamic network with integral arc capacities with holding capability of flow (evacuees) in the temporary shelter at intermediate nodes. Journal of the Institute of Engineering, 2018, 14(1): 107-114

A Solution Procedure for Geometric Programming

1976 ◽  
Vol 24 (1) ◽  
pp. 15-25 ◽  
Author(s):  
John R. McNamara
Keyword(s):  
Geometric Programming ◽  
Solution Procedure

A Total Lagrangian ANCF Liquid Sloshing Approach for Multibody System Applications

2015 ◽  
Vol 10 (5) ◽  
Author(s):  
Cheng Wei ◽  
Liang Wang ◽  
Ahmed A. Shabana
Keyword(s):  
Fluid Dynamics ◽  
Multibody System ◽  
Stokes Equations ◽  
Control Volume ◽  
Mass Matrix ◽  
Region Of Interest ◽  
Solution Procedure ◽  
Lagrangian Approach ◽  
Liquid Sloshing ◽  
Constraint Equations

The objective of this investigation is to develop a total Lagrangian nonincremental liquid sloshing solution procedure based on the finite element (FE) absolute nodal coordinate formulation (ANCF). The proposed liquid sloshing modeling approach can be used to avoid the difficulties of integrating most of fluid dynamics formulations, which are based on the Eulerian approach, with multibody system (MBS) dynamics formulations, which are based on a total Lagrangian approach. The proposed total Lagrangian FE fluid dynamics formulation, which can be systematically integrated with computational MBS algorithms, differs significantly from the conventional FE or finite volume methods which are based on an Eulerian representation that employs the velocity field of a fixed control volume in the region of interest. The ANCF fluid equations are expressed in terms of displacement and gradient coordinates of material points, allowing for straightforward implementation of kinematic constraint equations and for the systematic modeling of the interaction of the fluid with the external environment or with rigid and flexible bodies. The fluid incompressibility conditions and surface traction forces are considered and derived directly from the Navier–Stokes equations. Two ANCF brick elements, one is obtained using an incomplete polynomial representation and the other is obtained from a B-spline volume representation, are used. The new approach ensures the continuity of the displacement gradients at the nodal points and allows for imposing higher degree of continuity across the element interface by applying algebraic constraint equations that can be used to eliminate dependent variables and reduce the model dimensionality. Regardless of the magnitude of the fluid displacement, the fluid has a constant mass matrix, leading to zero Coriolis and centrifugal forces. The analysis presented in this paper demonstrates the feasibility of developing an efficient nonincremental total Lagrangian approach for modeling sloshing problems in MBS system applications in which the bodies can experience large displacements including finite rotations. Several examples are presented in order to shed light on the potential of using the ANCF liquid sloshing formulation developed in this study.

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