A high-resolution scheme for axisymmetric hydrodynamics based on the 2D GRP solvers

DOI10.1016/j.compfluid.2023.105961zbMath1521.76498MaRDI QIDQ6093465

Zijin Zhu, GuoXi Ni, Qingjie Cui

Publication date: 7 September 2023

Published in: Computers and Fluids (Search for Journal in Brave)

zbMATH Keywords

singularityhigh-resolutionaxisymmetryacoustic approximationnumerical boundary condition2D GRP

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Cites Work

• Unnamed Item
• Unnamed Item
• Compatible, total energy conserving and symmetry preserving arbitrary Lagrangian-Eulerian hydrodynamics in 2D \(rz\) - cylindrical coordinates
• High-order conservative reconstruction schemes for finite volume methods in cylindrical and spherical coordinates
• The simulation of compressible multi-fluid flows by a GRP-based energy-splitting method
• Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: from first-order to high-orders. II: The two-dimensional case
• A second-order Godunov-type scheme for compressible fluid dynamics
• Implementation of the GRP scheme for computing radially symmetric compressible fluid flows
• A high-order cell-centered Lagrangian scheme for compressible fluid flows in two-dimensional cylindrical geometry
• A direct Eulerian GRP scheme for compressible fluid flows
• Finite element/volume solution to axisymmetric conservation laws
• A multislope MUSCL method on unstructured meshes applied to compressible Euler equations for axisymmetric swirling flows
• Positivity-preserving and symmetry-preserving Lagrangian schemes for compressible Euler equations in cylindrical coordinates
• A simple compact fourth-order Poisson solver on polar geometry
• A highly accurate technique for the treatment of flow equations at the polar axis in cylindrical coordinates using series expansions.
• Numerical treatment of polar coordinate singularities
• An Eulerian finite volume solver for multi-material fluid flows with cylindrical symmetry
• One-sided GRP solver and numerical boundary conditions for compressible fluid flows
• Comparisons of some difference forms for compressible flow in cylindrical geometry on arbitrary Lagrangian and Eulerian framework
• Hyperbolic balance laws: Riemann invariants and the generalized Riemann problem
• Solvers for the high-order Riemann problem for hyperbolic balance laws
• SPH in spherical and cylindrical coordinates
• A cell-centered Lagrangian scheme in two-dimensional cylindrical geometry
• A cell-centered Lagrangian scheme with the preservation of symmetry and conservation properties for compressible fluid flows in two-dimensional cylindrical geometry
• Numerical Treatment of Cylindrical Coordinate Centerline Singularities
• A steady-state capturing method for hyperbolic systems with geometrical source terms
• Finite volume method in curvilinear coordinates for hyperbolic conservation laws
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Generalized Riemann Problems in Computational Fluid Dynamics
• Accelerated Piston Problem and High Order Moving Boundary Tracking Method for Compressible Fluid Flows
• Application of the GRP Scheme for Cylindrical Compressible Fluid Flows
• Radially Symmetrical Problems for Compressible Fluids with a High-Resolution Boundary Condition

This page was built for publication: A high-resolution scheme for axisymmetric hydrodynamics based on the 2D GRP solvers