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  "body": "\n## Summary\n\nThe immersed boundary method simulates elastic structures moving in a viscous incompressible fluid on a fixed Cartesian grid.\nThe fluid is described by the [[Navier–Stokes equations|18KXZHVF4M]] on the grid, and the structure by points that move with the fluid.\nThe two are coupled by smoothed versions of the [[Dirac delta function|0KPHENZ5S7]].\nThe structure spreads its elastic forces to the grid and takes its velocity from the grid.\nIt was introduced by Charles Peskin to model blood flow through the heart.\nSee the [[definition|E8FQ2R87VX]].\n\n## Explanations\n\n### L1 human\n\nPicture a heart valve, a thin elastic sheet, waving in the blood.\nBuilding a mesh that follows the valve as it moves is hard.\nThe immersed boundary method keeps a fixed square grid for the blood and treats the valve as a chain of points carried by the flow.\nThe points push on the nearby fluid with their elastic forces, and the fluid carries the points along.\n",
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