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In this paper we show theoretically and numerically that the first-order Godunov scheme based on the new Lagrangian formulation of Hui and Van Roessel for steady supersonic flow always resolves an isolated slip-line discontinuity crisply, provided it is initially aligned with a grid line.
The participants' feet will be positioned in accordance with the manufacturer's requirements for data collection (i.e., feet facing forward and the medial malleolus and the lateral calcaneus aligned with a grid superimposed on the surface of the force plate).
Array JPEGs were aligned with a grid and processed using the RMA (Robust Multi-array Average) algorithm [ 33] to determine relative probe intensity using Version 2.5 of the NimbleScan software.
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The same hexagonal 2D grid type is used and aligned with the culture grid; however, the grid contains only numerical values.
It is designed to overcome the problem of alignment, the flow being aligned with the grid.
It provides good convergence rates for first-order upwind discretisations even in the case of alignment, the flow being aligned with the grid.
An embedded-boundary method is utilized to enforce the boundary conditions on a complex moving body which is not aligned with the grid lines.
The moving box is aligned with Cartesian grid faces, which makes the integral evaluation straightforward in an immersed boundary (IB) framework.
Twice a year, either side of the summer solstice, the setting sun is perfectly aligned with the grid of New York city streets.
A stable FDTD algorithm is developed for simulating Maxwell's equations in anisotropic dielectric materials with principal axes not aligned with the grid.
When the flow is not aligned with the grid this leads to much more accurate convective fluxes and surface concentrations than a standard Cartesian template.
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