An unfitted radial basis function generated finite difference method applied to thoracic diaphragm simulations

The thoracic diaphragm is the muscle that drives respiratory cycle of a human being. Using system partial differential equations (PDEs) models linear elasticity we compute displacements and stresses in two-dimensional cross section its contracted state. boundary data consists mix displacement traction conditions. If these are imposed as they are, conditions not compatible, this leads to reduced smoothness solution. Therefore, first smoothed using least-squares radial basis function generated finite difference (RBF-FD) framework. Then reformulated Robin condition with smooth coefficients. same framework also used approximate curve based on obtained from slice computed tomography (CT) scan. To solve PDE employ unfitted RBF-FD method. This makes it easier handle geometry diaphragm, which thin non-convex. We show numerically our solution converges high-order towards element evaluated fine grid. Through simplified numerical model gain an insight into challenges associated before approaching more complex three-dimensional model.