Theoretical and numerical structure for reacting shock waves
SIAM Journal on Scientific and Statistical Computing
SIAM Journal on Scientific and Statistical Computing
On the use of composite grid schemes in computational aerodynamics
Computer Methods in Applied Mechanics and Engineering
A study of numerical methods for hyperbolic conservation laws with stiff source terms
Journal of Computational Physics
Multidimensional upwind methods for hyperbolic conservation laws
Journal of Computational Physics
Composite overlapping meshes for the solution of partial differential equations
Journal of Computational Physics
Hole-Cutting for Three-Dimensional Overlapping Grids
SIAM Journal on Scientific Computing
A Modified Fractional Step Method for the Accurate Approximation of Detonation Waves
SIAM Journal on Scientific Computing
Overture: An Object-Oriented Framework for Solving Partial Differential Equations
ISCOPE '97 Proceedings of the Scientific Computing in Object-Oriented Parallel Environments
Adaptive mesh refinement for hyperbolic partial differential equations
Adaptive mesh refinement for hyperbolic partial differential equations
Numerical studies of the evolution of detonations
Mathematical and Computer Modelling: An International Journal
Interface conditions for wave propagation through mesh refinement boundaries
Journal of Computational Physics
Moving overlapping grids with adaptive mesh refinement for high-speed reactive and non-reactive flow
Journal of Computational Physics
A high-resolution Godunov method for compressible multi-material flow on overlapping grids
Journal of Computational Physics
On sub-linear convergence for linearly degenerate waves in capturing schemes
Journal of Computational Physics
Journal of Computational Physics
A composite grid solver for conjugate heat transfer in fluid-structure systems
Journal of Computational Physics
Journal of Computational Physics
An evaluation of the FCT method for high-speed flows on structured overlapping grids
Journal of Computational Physics
A parallel solution - adaptive method for three-dimensional turbulent non-premixed combusting flows
Journal of Computational Physics
Compact integration factor methods for complex domains and adaptive mesh refinement
Journal of Computational Physics
Deforming composite grids for solving fluid structure problems
Journal of Computational Physics
Journal of Computational Physics
Numerical methods for solid mechanics on overlapping grids: Linear elasticity
Journal of Computational Physics
Automatic off-body overset adaptive Cartesian mesh method based on an octree approach
Journal of Computational Physics
An adaptive discretization of incompressible flow using a multitude of moving Cartesian grids
Journal of Computational Physics
Hi-index | 31.52 |
We describe a method for the numerical solution of high-speed reactive flow in complex geometries using overlapping grids and block-structured adaptive mesh refinement. We consider flows described by the reactive Euler equations with an ideal equation of state and various stiff reaction models. These equations are solved using a second-order accurate Godunov method for the convective fluxes and a Runge-Kutta time-stepping scheme for the source term modeling the chemical reactions. We describe an extension of the adaptive mesh refinement approach to curvilinear overlapping grids. Numerical results are presented showing the evolution to detonation in a quarter-plane provoked by a temperature gradient and the propagation of an overdriven detonation in an expanding channel. The first problem, which considers a one-step Arrhenius reaction model, is used primarily to validate the numerical method, while the second problem, which considers a three-step chain-branching reaction model, is used to illustrate mechanisms of detonation failure and rebirth for the channel geometry.