Ls-Isph: Incompressible Fluid Analysis Based on the Least Squares Method With Constraints for Free-Surfaces and Solid Walls

Key Points

• To improve the accuracy and stability of incompressible fluid analysis near free surfaces and solid walls using a new method.
• Developed the LS-ISPH method based on least squares for incompressible fluid dynamics.
• Applied high-accuracy SPH method and boundary treatment techniques to enhance wall interactions.
• Implemented a new stabilization technique for free surface interactions.
• Achieved higher precision in fluid calculations compared to traditional methods.
• Reduced errors associated with boundary treatment and particle arrangement.
• Demonstrated improved stability in simulations near free surfaces.