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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Contact discontinuities in finitely long nozzles
有限长喷嘴 接触 不连续性 可压缩欧拉流
2023/5/4
There can be contact discontinuities in the nozzle for the compressible Euler flow. In this talk, we will talk about the cases of the subsonic-supersonic and supersonic-supersonic contact discontinuit...
Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework
Schwarz Christoffel conformal mapping numerical integration extended finite element method quadrature generalized finite element method
2011/9/20
Abstract: Partition of unity methods, such as the extended finite element method (XFEM) allow discontinuities to be simulated independently of the mesh [1]. This eliminates the need for the mesh to be...
On ringing effects near jump discontinuities for periodic solutions to dispersive partial differential equations
ringing effect dispersive equations weak solutions periodic boundary conditions Diophantine approximations Weyl shift method
2011/8/30
Abstract: We consider weak solutions to dispersive partial differential equations with periodic boundary conditions and initial data with jump discontinuities. These are already known to be continuous...
Valid Physical Processes from Numerical Discontinuities in Computational Fluid Dynamics
Numerical Discontinuities Computational Fluid Dynamics
2010/12/10
Due to the limited cell resolution in the representation of flow variables, a piecewise continuous initial reconstruction with discontinuous jump at a cell interface is usually used in modern computat...
Finding Discontinuities of Piecewise-smooth Functions
Inequalities Stable differentiation Noisy data Discontinuities Jumps Signal processing Edge detection
2008/7/1
Formulas for stable differentiation of piecewise-smooth functions are given. The data are noisy values of these functions. The locations of discontinuity points and the sizes of the jumps across these...