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関連する概念動画

Uniform Depth Channel Flow: Problem Solving01:18

Uniform Depth Channel Flow: Problem Solving

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To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
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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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Newtonian Fluid: Problem Solving01:18

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Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
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Velocity and Position by Integral Method01:13

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If acceleration as a function of time is known, then velocity and position functions can be derived using integral calculus. For constant acceleration, the integral equations refer to the first and second kinematic equations for velocity and position functions, respectively.
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In fluid mechanics, velocity and acceleration are key concepts for analyzing particle motion in both steady and unsteady flow. Consider a fluid particle moving along a pathline, where its velocity depends on its position and time. The particle's acceleration is obtained by differentiating the velocity with respect to time.
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Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...
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Updated: Jan 7, 2026

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正則化された速度再構成による浸漬界面法の堅牢性の向上

Qi Sun1, Ebrahim M Kolahdouz1, Boyce E Griffith1,2,3,4,5,6

  • 1Department of Mathematics, University of North Carolina, Chapel Hill, NC, USA.

Journal of computational physics
|December 31, 2025
PubMed
まとめ

新しい安定化戦略は、流体-構造連成（FSI）アルゴリズムを強化し、流体と構造間の柔軟なメッシュ比を可能にします。これにより、計算効率が向上し、複雑な工学問題に対するFSIシミュレーションの適用範囲が広がります。

キーワード:
流体-構造連成浸漬界面法正則化安定化計算力学

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科学分野:

  • 計算力学
  • 流体-構造連成（FSI）モデリング

背景:

  • 堅牢で効率的な流体-構造連成（FSI）アルゴリズムの開発は、正確な計算力学にとって重要です。
  • 既存の浸漬界面法（IIM）は、制限的なメッシュ係数比に直面しており、複雑な形状の計算コストが増加します。

研究 の 目的:

  • IIMにおける速度補間演算子の安定化戦略を考案し、メッシュ比の制限を克服すること。
  • 複雑な形状や動的条件に対するFSIシミュレーションの適用性と効率を向上させること。

主な方法:

  • チホノフ正則化に着想を得た速度補間演算子の安定化戦略を導入しました。
  • 定常界面およびFSIモデル（剛体ダイナミクス、弾性力学構造）を備えたベンチマーク問題を使用して有効性を評価しました。

主要な成果:

  • 安定化された速度補間演算子により、構造から流体へのグリッドサイズ比の範囲が広がります。
  • 精度と流れのダイナミクスは、緩和されたメッシュ比制約の影響を受けません。
  • この方法は、複雑な3D形状と多様な工学アプリケーションをモデル化することに成功しています。

結論:

  • 安定化されたIIMは、複雑な形状や動的条件を持つFSI問題に対して、堅牢で実用的なソリューションを提供します。
  • この進歩により、計算力学におけるIIMの適用範囲が大幅に広がります。