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8126 results in Fluid dynamics and solid mechanics

Page 63 of 407

Think Before You Compute
  • A Prelude to Computational Fluid Dynamics
  • E. J. Hinch
  • Published online:
    28 April 2020
    Print publication:
    30 April 2020
  • Every fluid dynamicist will at some point need to use computation. Thinking about the physics, constraints and the requirements early on will be rewarded with benefits in time, effort, accuracy and expense. How these benefits can be realised is illustrated in this guide for would-be researchers and beginning graduate students to some of the standard methods and common pitfalls of computational fluid mechanics. Based on a lecture course that the author has developed over twenty years, the text is split into three parts. The quick introduction enables students to solve numerically a basic nonlinear problem by a simple method in just three hours. The follow-up part expands on all the key essentials, including discretisation (finite differences, finite elements and spectral methods), time-stepping and linear algebra. The final part is a selection of optional advanced topics, including hyperbolic equations, the representation of surfaces, the boundary integral method, the multigrid method, domain decomposition, the fast multipole method, particle methods and wavelets.

  • ANZ VOLUME 61 ISSUE 4 COVER AND BACK MATTER

  • Journal:
    The ANZIAM Journal / Volume 61 / Issue 4 / October 2019
    Published online by Cambridge University Press:
    24 April 2020, pp. b1-b9
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  • ANZ VOLUME 61 ISSUE 4 COVER AND FRONT MATTER

  • Journal:
    The ANZIAM Journal / Volume 61 / Issue 4 / October 2019
    Published online by Cambridge University Press:
    24 April 2020, pp. f1-f2
    • Article
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  • THE ALTERNATIVE KIRCHHOFF APPROXIMATION IN ELASTODYNAMICS WITH APPLICATIONS IN ULTRASONIC NONDESTRUCTIVE TESTING

  • Part of
  • L. J. FRADKIN, A. K. DJAKOU, C. PRIOR, M. DARMON, S. CHATILLON, P.-F. CALMON
  • Journal:
    The ANZIAM Journal / Volume 62 / Issue 4 / October 2020
    Published online by Cambridge University Press:
    23 April 2020, pp. 406-422
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  • The Kirchhoff approximation is widely used to describe the scatter of elastodynamic waves. It simulates the scattered field as the convolution of the free-space Green’s tensor with the geometrical elastodynamics approximation to the total field on the scatterer surface and, therefore, cannot be used to describe nongeometrical phenomena, such as head waves. The aim of this paper is to demonstrate that an alternative approximation, the convolution of the far-field asymptotics of the Lamb’s Green’s tensor with incident surface tractions, has no such limitation. This is done by simulating the scatter of a critical Gaussian beam of transverse motions from an infinite plane. The results are of interest in ultrasonic nondestructive testing.

Page 63 of 407