scholarly journals A continuous finite element framework for the pressure Poisson equation allowing non‐Newtonian and compressible flow behavior

2020 ◽  
Author(s):  
Douglas R. Q. Pacheco ◽  
Olaf Steinbach
Keyword(s):  
Finite Element ◽  
Compressible Flow ◽  
Poisson Equation ◽  
Flow Behavior ◽  
Pressure Poisson Equation

scholarly journals Parallelization of Linear Iterative Methods for Solving the 3-D Pressure Poisson Equation Using Various Programming Languages

2013 ◽  
Vol 61 ◽  
pp. 136-143 ◽  
Author(s):  
Tingting Tang ◽  
Weiyun Liu ◽  
J.M. McDonough
Keyword(s):  
Programming Languages ◽  
Iterative Methods ◽  
Poisson Equation ◽  
Pressure Poisson Equation

Granular Flow Modeling and Simulation Using a Dynamic Finite Element Method

2007 ◽  
Author(s):  
M. A. Kabir ◽  
C. Fred Higgs ◽  
Michael R. Lovell
Keyword(s):  
Finite Element ◽  
Modeling And Simulation ◽  
Granular Flow ◽  
Flow Behavior ◽  
Food Service ◽  
Complex Nature ◽  
Complex Flow ◽  
Dual Nature ◽  
Simulation Techniques ◽  
Flow Phenomena

Granular flow behavior is of fundamental interest to the engineering and scientific community because of the prevalence of these flows in the pharmaceutical, agricultural, food service, and powder manufacturing industries. Granular materials exhibit very complex behavior, oftentimes acting as solids and at other times as fluids. This dual nature leads to very complex and rich behavior, which is not yet well understood. Therefore, the present investigation introduces a new technique that can potentially be used to unveil the mystery of granular flow phenomena. To this end, advanced finite element modeling and simulation techniques have been applied to the study of the complex nature of granular flow. More specifically, the explicit dynamic code LS-DYNA has been utilized to gain an understanding of the complex flow nature and collision stresses of granules in a shear cell.

scholarly journals Elasto-thermoviscoplastic finite element analyses of cold upsetting and forging processes of S25C steel with dynamic strain aging considered

2021 ◽  
Vol 2047 (1) ◽  
pp. 012001
Author(s):  
S M Ji ◽  
M K Razali ◽  
K H Lee ◽  
W J Chung ◽  
M S Joun
Keyword(s):  
Finite Element ◽  
Flow Stress ◽  
Dynamic Strain Aging ◽  
Strain Aging ◽  
Large Strain ◽  
Flow Behavior ◽  
Cold Forging ◽  
Dynamic Strain ◽  
Strain Effect ◽  
Strain And Strain Rate

Abstract A practical methodology is presented to characterize the thermoviscoplastic flow stress at larger strain over the temperature range of cold metal forming using tensile and compression tests. Its importance is emphasized for non-isothermal finite element (FE) analysis of automatic multi-stage cold forging (AMSCF) process where maximum strain and strain rate exceed around 3.0 and 200/s, respectively. The experimental compressive flow stress is first characterized using traditional bilinear C-m model with high accuracy. It is employed for describing the closed-form function model to extrapolate the experimental flow stress over the experimentally uncovered ranges of state variables. The strain effect on the flow stress is then improved using the experimental tensile flow stress accurately calculated at large strain and room temperature. A complicated flow behavior of S25C characterized by its dynamic strain aging features is expressed by the presented methodology, which is utilized to analyze the test upsetting and AMSCF processes by the elasto-thermoviscoplastic finite element method for revealing the effects of flow stresses on the process.

Superconvergent finite element solutions of Laplace and Poisson equation

1996 ◽  
Vol 32 (3) ◽  
pp. 643-646 ◽  
Author(s):  
J. Franz ◽  
M. Kasper
Keyword(s):  
Finite Element ◽  
Poisson Equation

Convergence Analysis for the Nested Refinement of Triangular Finite Element

2011 ◽  
Vol 317-319 ◽  
pp. 1926-1930 ◽  
Author(s):  
Qi Sheng Wang ◽  
Yi Gao Zhao
Keyword(s):  
Finite Element ◽  
Boundary Value Problem ◽  
Convergence Analysis ◽  
Poisson Equation ◽  
Boundary Value ◽  
Triangular Mesh ◽  
Triangular Grid ◽  
Triangular Finite Element ◽  
Convergence Results

In this paper, the method of the nested refinement for triangular mesh and some relevant conclusions are considered. The Κ level triangular grid nested refinement on the plan domain Ω and some related properties are discussed , and the convergence results are obtained for the first boundary value problem of Poisson equation under the nested refinement of triangular finite element.

A Lagrangian finite element method for 3D compressible flow applications

2016 ◽  
Vol 311 ◽  
pp. 374-392 ◽  
Author(s):  
Massimiliano Cremonesi ◽  
Attilio Frangi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Compressible Flow ◽  
Lagrangian Finite Element ◽  
Element Method

Adaptive Finite Element Method for Solving Poisson Partial Differential Equation

2021 ◽  
Vol 4 (1) ◽  
pp. 1-18
Author(s):  
Gokul KC ◽  
Ram Prasad Dulal
Keyword(s):  
Differential Equation ◽  
Finite Element Method ◽  
Partial Differential Equation ◽  
Finite Element ◽  
Poisson Equation ◽  
Rectangular Domain ◽  
Adaptive Finite Element Method ◽  
Adaptive Finite Element ◽  
Partial Differential ◽  
Element Method

Poisson equation is an elliptic partial differential equation, a generalization of Laplace equation. Finite element method is a widely used method for numerically solving partial differential equations. Adaptive finite element method distributes more mesh nodes around the area where singularity of the solution happens. In this paper, Poisson equation is solved using finite element method in a rectangular domain with Dirichlet and Neumann boundary conditions. Posteriori error analysis is used to mark the refinement area of the mesh. Dorfler adaptive algorithm is used to refine the marked mesh. The obtained results are compared with exact solutions and displayed graphically.

scholarly journals Effects of Nozzle Die Angle on Extruding Polymethylmethacrylate in Open-Source 3D Printing

2018 ◽  
Vol 15 (2) ◽  
pp. 663-665 ◽  
Author(s):  
Nor Aiman Sukindar ◽  
Mohd Khairol Anuar Mohd Ariffin ◽  
B.T. Hang Tuah Baharudin ◽  
Che Nor Aiza Jaafar ◽  
Mohd Idris Shah Ismail
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Pressure Drop ◽  
3D Printing ◽  
Open Source ◽  
Flow Behavior ◽  
Three Dimensional ◽  
3D Printer ◽  
Element Analysis ◽  
Factors Affecting

Open-source 3D printer has been widely used for fabricating three dimensional products. However, this technology has some drawbacks that need to be improved such as accuracy of the finished parts. One of the factors affecting the final product is the ability of the machine to extrude the material consistently, which is related to the flow behavior of the material inside the liquefier. This paper observes the pressure drop along the liquefier by manipulating the nozzle die angle from 80° to 170° using finite element analysis (FEA) for polymethylmethacrylate (PMMA) material. When the pressure drop along the liquefier is varied, the printed product also varies, thus providing less accuracy in the finished parts. Based on the FEA, it was found that 130° was the optimum die angle (convergent angle) for extruding PMMA material using open-source 3D printing.

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