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Related Concept Videos

Mesh Analysis01:20

Mesh Analysis

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Mesh analysis is a valuable method for simplifying circuit analysis using mesh currents as key circuit variables. Unlike nodal analysis, which focuses on determining unknown voltages, mesh analysis applies Kirchhoff's voltage law (KVL) to find unknown currents within a circuit. This method is particularly convenient in reducing the number of simultaneous equations that need to be solved.
A fundamental concept in mesh analysis is the definition of meshes and mesh currents. A mesh is a closed...
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Mesh Analysis with Current Sources01:10

Mesh Analysis with Current Sources

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Mesh analysis becomes simpler when analyzing circuits with current sources, whether independent or dependent. The presence of current sources reduces the number of equations required for analysis. Two cases illustrate this:
Current Source in One Mesh: The analysis process is straightforward when a current source is found in only one mesh within the circuit. Mesh currents are assigned as usual, with the mesh containing the current source excluded from the analysis. Kirchhoff's voltage law...
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Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

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When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
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Accelerating Fluids01:17

Accelerating Fluids

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When a fluid is in constant acceleration, the pressure and buoyant force equations are modified. Suppose a beaker is placed in an elevator accelerating upward with a constant acceleration, a. In the beaker, assume there is a thin cylinder of height h with an infinitesimal cross-sectional area, ΔS.
The motion of the liquid within this infinitesimal cylinder is considered to obtain the pressure difference. Three vertical forces act on this liquid:
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Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

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Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
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Euler Equations of Motion01:19

Euler Equations of Motion

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Imagine a rigid body that is rotating at an angular velocity of ω within an inertial frame of reference. Along with this, picture a second rotating frame that is attached to the body itself. This frame moves along with the body and possesses an angular velocity of Ω. The total moment about the center of mass is calculated by adding the rate of change of angular momentum about the center of mass in relation to the rotating frame and the cross-product of the body's angular velocity...
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Updated: Mar 29, 2026

Three-Dimensional Particle Shape Analysis Using X-ray Computed Tomography: Experimental Procedure and Analysis Algorithms for Metal Powders
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An Implementation of the Smooth Particle Mesh Ewald Method on GPU Hardware.

M J Harvey1, G De Fabritiis1

  • 1High Performance Computing Service, Information and Communications Technologies, Imperial College London, South Kensington, London, SW7 2AZ, United Kingdom and Computational Biochemistry and Biophysics Lab (GRIB-IMIM), Universitat Pompeu Fabra, Barcelona Biomedical Research Park (PRBB), C/ Doctor Aiguader 88, 08003 Barcelona, Spain.

Journal of Chemical Theory and Computation
|December 1, 2015
PubMed
Summary
This summary is machine-generated.

We optimized the smooth particle mesh Ewald summation method for Nvidia graphical processing units (GPUs). This GPU implementation achieves high simulation rates and accuracy for molecular dynamics, comparable to CPU methods.

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Area of Science:

  • Computational chemistry
  • Molecular dynamics simulations
  • High-performance computing

Background:

  • The smooth particle mesh Ewald summation (SPME) method is crucial for calculating electrostatic forces in molecular dynamics (MD).
  • Optimizing SPME for parallel architectures is essential for efficient simulations.
  • Graphical Processing Units (GPUs) offer significant parallelism and computational power.

Purpose of the Study:

  • To implement and evaluate the SPME method on Nvidia GPUs.
  • To assess the performance and accuracy of the GPU-accelerated SPME implementation.
  • To enable faster and more efficient biomolecular simulations.

Main Methods:

  • Developed an implementation of the SPME method tailored for Nvidia GPUs.
  • Integrated the GPU implementation with the ACEMD molecular dynamics package.
  • Compared simulation performance and accuracy against a double-precision CPU implementation.

Main Results:

  • A single GPU workstation achieved simulation rates of approximately 50 ns/day for typical biomolecular systems (e.g., DHFR, 26K atoms).
  • The GPU implementation demonstrated accuracy comparable to a reference double-precision CPU implementation.
  • The high parallelism and arithmetic performance of GPUs were leveraged for computational acceleration.

Conclusions:

  • GPU acceleration of the SPME method significantly enhances molecular dynamics simulation efficiency.
  • The developed implementation provides a viable and accurate alternative to traditional CPU-based methods.
  • This work facilitates faster and more extensive investigations in computational biomolecular science.