Property-Preserving Numerical Schemes for Conservation Laws
Property-Preserving Numerical Schemes for Conservation Laws
English | 2024 | ISBN: 9811278180 | 491 Pages | PDF (True) | 8 MB
English | 2024 | ISBN: 9811278180 | 491 Pages | PDF (True) | 8 MB
High-order numerical methods for hyperbolic conservation laws do not guarantee the validity of constraints that physically meaningful approximations are supposed to satisfy. The finite volume and finite element schemes summarized in this book use limiting techniques to enforce discrete maximum principles and entropy inequalities. Spurious oscillations are prevented using artificial viscosity operators and/or essentially nonoscillatory reconstructions.