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Showing 1 to 3 of 3 for “"compact schemes"”.
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Analysis and Implementation of High-Order Compact Finite Difference Schemes
The derivation of centered compact schemes at interior and boundary grid points is performed and an analysis of stability and computational efficiency is given. Compact schemes are high order implicit methods for numerical solutions of initial and/or boundary value problems modeled by differential …
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Study of Vortex Ring Dynamics in the Nonlinear Schrödinger Equation Utilizing GPU-Accelerated High-Order Compact Numerical Integrators
… of required simulations. To facilitate this, compact high-order numerical schemes for the spatial derivatives are developed which include a new semi-compact modulus-squared Dirichlet boundary condition. The schemes are combined with a fourth-order Runge-Kutta time-stepping scheme in order to …
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The study and control of wall bounded flows : El estudio y control de flujos de pared
… terms are all fourth-order accurate using compact finite difference schemes. Overall, this meant that the theoretical resolution of the code is as if fourth-order compact schemes would have been used. The code is second-order accurate in time. The developed code is now used extensively to …