Time‐Marching Approach for Pipe Steady Flows

1988 ◽  
Vol 114 (11) ◽  
pp. 1301-1320 ◽  
Author(s):  
Masashi Shimada
Keyword(s):  
Steady Flows ◽  
Time Marching

Steady Flow Calculations Using Transient Analysis Combined With Network Analysis

2003 ◽  
Author(s):  
Masashi Shimada ◽  
Ryota Kurisu
Keyword(s):  
Network Analysis ◽  
Transient Analysis ◽  
Steady Flows ◽  
Speed Of Convergence ◽  
Wave Speeds ◽  
Network Analyses ◽  
Cpu Time ◽  
Friction Factors ◽  
Optimization Parameter ◽  
Time Marching

This paper proposes a method of solving steady flows in large pipelines with the transient analysis (MOC) combined with the network analysis. The existing methods of accelerating the speed of convergence to steady flows in pipelines, i.e., the time marching approach (TMA) replaces the system dimensions (lengths of pipes, friction factors, wave speeds) by not actual ones and dynamically controls one optimization parameter to reduce the spectral radius. That method will be applied to two pipeline systems having a few thousand of pipes. To accelerate much more the convergence the graph-theoretical information used in the network analyses is implemented. From the discharges computed with TMA the heads at each node are adequately modified using the information of “Tree” of the directed-graph defined for pipelines. Two variations of the method are also proposed. They reduces much the Cpu time to solve steady flows in large pipelines.

Multigrid upwind Euler/Navier-Stokes computation on adaptive unstructured meshes

2001 ◽  
Vol 105 (1046) ◽  
pp. 173-184 ◽  
Author(s):  
Y. Zheng ◽  
L. He
Keyword(s):  
Adaptive Mesh Refinement ◽  
Multigrid Method ◽  
Mesh Refinement ◽  
Adaptive Mesh ◽  
Navier Stokes ◽  
Steady Flows ◽  
Flow Solver ◽  
Solution Convergence ◽  
Time Marching ◽  
Accuracy Speed

Abstract An unstructured flow solver with adaptive mesh refinement and multigrid acceleration is developed to efficiently compute two-dimensional inviscid and viscous steady flows about complex configurations. High resolution is achieved by using the upwind scheme coupled with adaptive mesh refinement. An aspect-ratio adaptive multigrid method is developed and applied to effectively accelerate the solution convergence of the explicit time-marching in the near wall regions with high aspect mesh ratios. Numerical examples are presented for configurations and conditions ranging from transonic to low speed flows to demonstrate accuracy, speed, and robustness of the method.

Axisymmetric steady flows in astrophysics

2003 ◽  
Vol 173 (11) ◽  
pp. 1247 ◽  
Author(s):  
Vasilii S. Beskin
Keyword(s):  
Steady Flows

Cool electron beam steady flows

1987 ◽  
Vol 30 (6) ◽  
pp. 1814 ◽  
Author(s):  
Peter Amendt ◽  
Harold Weitzner
Keyword(s):  
Electron Beam ◽  
Steady Flows

scholarly journals Rotational Particle Separation in Solutions: Micropolar Fluid Theory Approach

Polymers ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1072
Author(s):  
Vladimir Shelukhin
Keyword(s):  
Mathematical Model ◽  
Rotational Diffusion ◽  
Particle Separation ◽  
Theory Approach ◽  
Steady Flows ◽  
Concentric Cylinder ◽  
Polar Fluid ◽  
Fluid Theory ◽  
Couette Cell ◽  
Granular Fluid

We develop a new mathematical model for rotational sedimentation of particles for steady flows of a viscoplastic granular fluid in a concentric-cylinder Couette geometry when rotation of the Couette cell inner cylinder is prescribed. We treat the suspension as a micro-polar fluid. The model is validated by comparison with known data of measurement. Within the proposed theory, we prove that sedimentation occurs due to particles’ rotation and rotational diffusion.

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