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Steady, Laminar Flow Between Parallel Plates01:17

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Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
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Fast Decoupled and DC Powerflow01:24

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The fast decoupled power flow method addresses contingencies in power system operations, such as generator outages or transmission line failures. This method provides quick power flow solutions, essential for real-time system adjustments. Fast decoupled power flow algorithms simplify the Jacobian matrix by neglecting certain elements, leading to two sets of decoupled equations:
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The Power Flow Problem and Solution01:26

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Power flow problem analysis is fundamental for determining real and reactive power flows in network components, such as transmission lines, transformers, and loads. The power system's single-line diagram provides data on the bus, transmission line, and transformer. Each bus k in the system is characterized by four key variables: voltage magnitude Vk​, phase angle δk​, real power Pk​, and reactive power Qk​. Two of these four variables are inputs, while the...
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Turbulent Flow: Problem Solving01:09

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Carbonation is a process used to dissolve carbon dioxide gas in a liquid, commonly used in the production of carbonated beverages. Achieving efficient carbonation requires careful control of temperature, pressure, and flow conditions. By adjusting these parameters, carbonation efficiency can be maximized, producing a higher concentration of CO2 in the liquid.
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Couette Flow01:22

Couette Flow

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Couette flow represents the flow of fluid between two parallel plates, with one plate fixed and the other moving with a constant velocity. This configuration allows for a simplified analysis using the Navier-Stokes equations, which govern fluid motion under conditions of viscosity and incompressibility. For Couette flow, the assumptions include a steady, laminar, incompressible flow with a zero-pressure gradient in the flow direction. This flow type is beneficial for understanding shear-driven...
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Multipipe systems consist of complex configurations of interconnected pipes designed to transport fluids efficiently across intricate networks. They are essential in engineering applications requiring precise control over flow distribution, pressure, and head loss. They are categorized into series, parallel, loop, and network configurations, each distinguished by unique flow characteristics and applications.
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Related Experiment Video

Updated: Aug 20, 2025

Author Spotlight: Computing the Effects of a Local Radiofrequency Hyperthermia Intervention on Tumor Biomechanics
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Communication-efficient algorithms for solving pressure Poisson equation for multiphase flows using parallel

Soumyadip Ghosh1, Jiacai Lu2, Vijay Gupta3

  • 1Intel Corporation, University of Notre Dame, Notre Dame, IN, United States of America.

Plos One
|November 22, 2022
PubMed
Summary
This summary is machine-generated.

This study introduces new parallel algorithms for solving partial differential equations, reducing synchronization and communication overhead. These methods improve both time and energy efficiency in complex simulations.

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Area of Science:

  • Computational Science
  • Numerical Analysis
  • Parallel Computing

Background:

  • Domain decomposition for solving partial differential equations on parallel computers often incurs significant synchronization and communication overhead.
  • This overhead impacts computational time and energy efficiency, particularly in large-scale simulations.

Purpose of the Study:

  • To develop communication-efficient parallel algorithms for solving partial differential equations.
  • To reduce the time and energy overhead associated with processor synchronization and communication.
  • To maintain solution accuracy while improving computational efficiency.

Main Methods:

  • An asynchronous algorithm was developed to eliminate synchronization requirements and enable distributed termination detection.
  • An event-triggered communication algorithm was built upon the asynchronous approach, reducing message passing frequency.
  • Algorithms were demonstrated using a successive over-relaxation solver for the 3-D pressure Poisson equation in multiphase flows.

Main Results:

  • The proposed asynchronous algorithm removes the need for synchronization and allows for distributed termination checks.
  • The event-triggered algorithm significantly reduces the number of inter-processor messages by communicating boundary values only at specific iterations.
  • Both algorithms demonstrated improvements in time and energy efficiency for the target application.

Conclusions:

  • Communication-efficient parallel algorithms can significantly alleviate overhead in solving partial differential equations.
  • Asynchronous and event-triggered approaches offer viable strategies for enhancing performance in parallel scientific computing.
  • The developed methods show promise for accelerating simulations in fields like computational fluid dynamics.