On the Construction of Meshfree Finite Volume Particle Methods

Time: 17:50 - 18:10  This talk discusses the utility of meshfree kernel techniques in adaptive finite volume particle methods (FVPM). To this end, we provide supporting arguments in favour of kernel-based reconstructions in... [ view full abstract ]

Time: 17:50 - 18:10  

This talk discusses the utility of meshfree kernel techniques in adaptive finite volume particle methods (FVPM). To this end, we provide supporting arguments in favour of kernel-based reconstructions in the recovery step of FVPM, where our discussion addresses relevant computational aspects concerning numerical stability and accuracy, as well as more specific points concerning efficient implementation. Special emphasis is finally placed on more recent advances in the construction of adaptive FVPM, where WENO reconstructions by polyharmonic spline kernels are used in combination with ADER flux evaluations to obtain high order methods for hyperbolic problems