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paper.md

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@@ -24,9 +24,10 @@ bibliography: paper.bib
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# Summary
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cuIBM solves the two-dimensional Navier-Stokes equations with an immersed-boundary method on structured Cartesian grids.
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With this solution approach, we release the constraint for the mesh-grid to fit to the surface of a body immersed in the fluid and use simple and easy-to-generate fixed Cartesian grid.
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(Thus, we do not have to re-generate the grid when the body is moving.)
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The governing equations are modified to take into account the presence of the immersed boundary and solved over the extended domain.
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With this solution approach, we remove the constraint for the computational grid to fit to the surface of a body immersed in a fluid.
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This has the advantage of requiring simple and easy-to-generate fixed Cartesian grids.
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cuIBM can be used to simulate the flow around fixed or moving bodies without the need to re-generate grids.
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Example applications may include flapping airfoils for the study of animal flight or fish locomotion.
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The equations are spatially discretized with a finite-difference technique and temporally integrated via a projection approach seen as an approximate block-LU decomposition (@Perot1993).
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cuIBM implements various immersed-boundary techniques that fit into the framework of Perot's projection method.
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Among them are the immersed-boundary projection approach from @TairaColonius2007, the direct-forcing method from @FadlunEtAl2000, and a second-order accurate direct-forcing method (@Krishnan2015).

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