On a third order CWENO boundary treatment with application to networks of hyperbolic conservation laws
From MaRDI portal
Publication:2279247
DOI10.1016/j.amc.2017.12.041zbMath1429.65194arXiv1703.00321OpenAlexW2783561838WikidataQ57558139 ScholiaQ57558139MaRDI QIDQ2279247
Alexander Naumann, Oliver Kolb, Matteo Semplice
Publication date: 12 December 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.00321
weighted essentially nonoscillatory schemesboundary treatmentaccuracy analysisnetworks of conservation laws
Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items
Boundary treatment of linear multistep methods for hyperbolic conservation laws, A new type of increasingly high-order multi-resolution trigonometric WENO schemes for hyperbolic conservation laws and highly oscillatory problems, One- and multi-dimensional CWENOZ reconstructions for implementing boundary conditions without ghost cells, Finite element solution of isothermal gas flow in a network, A New Fifth-Order Trigonometric WENO Scheme for Hyperbolic Conservation Laws and Highly Oscillatory Problems, Modeling and simulation of gas networks coupled to power grids, Modelling compressors, resistors and valves in finite element simulation of gas transmission networks, A local time stepping method for thermal energy transport in district heating networks, Well-balanced scheme for gas-flow in pipeline networks, Efficient implementation of adaptive order reconstructions
Cites Work
- Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction
- Numerical discretization of coupling conditions by high-order schemes
- Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes
- Optimization for a special class of traffic flow models: combinatorial and continuous approaches
- High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
- ADER schemes and high order coupling on networks of hyperbolic conservation laws
- On maximum-principle-satisfying high order schemes for scalar conservation laws
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Weighted essentially non-oscillatory schemes
- Adjoint-based error control for the simulation and optimization of gas and water supply networks
- High order numerical methods for networks of hyperbolic conservation laws coupled with ODEs and lumped parameter models
- Efficient implementation of weighted ENO schemes
- Inverse Lax-Wendroff procedure for numerical boundary conditions of conservation laws
- An improved weighted essentially non-oscillatory scheme with a new smoothness indicator
- A new mapped weighted essentially non-oscillatory scheme
- A high order approximation of hyperbolic conservation laws in networks: application to one-dimensional blood flow
- Junction-generalized Riemann problem for stiff hyperbolic balance laws in networks: an implicit solver and ADER schemes
- On the accuracy of WENO and CWENO reconstructions of third order on nonuniform meshes
- COUPLING TRAFFIC FLOW NETWORKS TO PEDESTRIAN MOTION
- Analysis of WENO Schemes for Full and Global Accuracy
- Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments
- Gas Pipeline Models Revisited: Model Hierarchies, Nonisothermal Models, and Simulations of Networks
- Simulation and Continuous Optimization
- On the Full and Global Accuracy of a Compact Third Order WENO Scheme: Part II
- Total variation diminishing Runge-Kutta schemes
- Compact Central WENO Schemes for Multidimensional Conservation Laws
- The Theoretical Accuracy of Runge–Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error
- On the Full and Global Accuracy of a Compact Third Order WENO Scheme
- Traffic Flow on a Road Network
