Numerical method for compressible gas-particle flow coupling using adaptive parcel refinement (APR) method on non-uniform mesh
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Keywords:
Adaptive Mesh Refinement
Compressible flow
Multiphase flow
In the present paper, high-order finite volume schemes on unstructured grids developed in our previous papers are extended to solve three-dimensional inviscid and viscous flows. The high-order variational reconstruction technique in terms of compact stencil is improved to reduce local condition numbers. To further improve the efficiency of computation, the adaptive mesh refinement technique is implemented in the framework of high-order finite volume methods. Mesh refinement and coarsening criteria are chosen to be the indicators for certain flow structures. One important challenge of the adaptive mesh refinement technique on unstructured grids is the dynamic load balancing in parallel computation. To solve this problem, the open-source library p4est based on the forest of octrees is adopted. Several two- and three-dimensional test cases are computed to verify the accuracy and robustness of the proposed numerical schemes.
Inviscid flow
Stencil
Adaptive Mesh Refinement
Robustness
Unstructured grid
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This chapter contains sections titled: Classification of Multiphase Flow Systems Practical Problems Involving Multiphase Systems Homogeneous versus Multi-Component/Multiphase Mixtures CFD and Multiphase Simulation Averaging Methods Local Instant Formulation Eulerian-Eulerian Modeling Eulerian-Lagrangian Modeling Interfacial Transport (Jump Conditions) Interface-Tracking/Capturing Discrete Particle Methods Homework Problems
Multiphase flow
Component (thermodynamics)
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Abstract An overview of Eulerian graphs is presented. In particular, characterizations of Eulerian graphs and digraphs as well as algorithms for constructing Eulerian circuits are discussed. A solution to the Chinese postman problem is followed by a study of subgraphs and supergraphs of Eulerian graphs. After an introduction to randomly Eulerian graphs and digraphs, we conclude with a summary of a variety of results involving enumeration.
Exposition (narrative)
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Two Eulerian circuits, both starting and ending at the same vertex, are avoiding if at every other point of the circuits they are at least distance 2 apart. An Eulerian graph which admits two such avoiding circuits starting from any vertex is said to be doubly Eulerian. The motivation for this definition is that the extremal Eulerian graphs, i.e. the complete graphs on an odd number of vertices and the cycles, are not doubly Eulerian. We prove results about doubly Eulerian graphs and identify those that are the `densest' and `sparsest' in terms of the number of edges.
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Abstract The permeability of the Earth's crust commonly varies over many orders of magnitude. Flow velocity can range over several orders of magnitude in structures of interest that vary in scale from centimeters to kilometers. To accurately and efficiently model multiphase flow in geologic media, we introduce a fully conservative node‐centered finite volume method coupled with a Galerkin finite element method on an unstructured triangular grid with a complementary finite volume subgrid. The effectiveness of this approach is demonstrated by comparison with traditional solution methods and by multiphase flow simulations for heterogeneous permeability fields including complex geometries that produce transport parameters and lengths scales varying over four orders of magnitude.
Multiphase flow
Unstructured grid
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In this study, the interaction between a propagating cellular detonation in stoichiometric 2H2/O2 and 2H2/O2/2Ar mixtures with different bluff bodies is investigated computationally. Numerical simulations are performed based on the two-dimensional reactive Euler equations with detailed chemistry models. A finite-volume package AMROC−an open-source code based on the structured adaptive mesh refinement (SAMR) technique−is used for the computations using both a 2nd order accurate, shock-capturing MUSCL-TVD finite volume method and a first-order accurate Godunov splitting method to handle the reaction source term. Adaptive mesh refinement (AMR) is employed to dynamically increase the resolution of a simulation in regions around shocks and reaction fronts. The present numerical results are compared with the recent experimental measurement. The detonation cell evolution, different regions downstream after the interaction, and the effect of obstacle scale and combustible mixture sensitivity are analyzed and discussed.
Adaptive Mesh Refinement
Bluff
Godunov's scheme
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Based on the theory of water-sediment two-phase flow,Eulerian multiphase model and mixture model were developed.A full Eulerian multiphase model may not be feasible for its complexity,so a simplified Eulerian multiphase model was applied in which the interface force of two phases only depends the friction.The mixture algebraic slip model(MASM) was developed from the Eulerian multiphase model.The simplified Eulerian multiphase model and MASM were applied to simulate 2-D turbid density current in a reservoir.By the analysis of the results of numerical simulation and experiment,MASM is more suitable for the turbid density current.The main reason is that the following behavior of suspended particles in MASM is better than in the simplified Eulerian multiphase model.
Multiphase flow
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Multi-material shock-physics Eulerian codes have undergone several generations of refinement in as many decades at Sandia. The widely used code, CTH, can trace its lineage to the one- and two-dimensional codes CHARTD and CSQ. An adaptive mesh refinement (AMR) strategy has been implemented in CTH, providing improved performance and memory utilization and evidence of improved scaling for large problems. The ALE (Arbitrary Lagrangian Eulerian) code ALEGRA combines the multimaterial shock physics capabilities found in CTH with a finite element numerical technique. It functions as an Eulerian code by imposing a trivial remesh strategy. The open architecture of ALEGRA has made it a popular foundation for multi-physics applications.
Adaptive Mesh Refinement
Code (set theory)
TRACE (psycholinguistics)
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Fluid transient phenomena involving pressure wave propagation have often been studied and solved with the method of characteristics. Only recently has the finite-volume method (FVM) been proposed and implemented to solve the transient fluid flows for a one-dimensional water-hammer–based analysis. The use of the FVM permits the introduction of new solution algorithms and, at the same time, deals with more general conditions, including multiphase flow and cavitation. The research presented in this paper investigates improvements to the solution methods for one-dimensional flow simulation with compressibility and multiphase liquid-gas flows induced by cavitation in which the gas phase consists of two distinct components: noncondensible gas and vapor. The effects of the second phase and the compressibility play an essential role in the density and, consequently, the speed of sound variation in the flow, and accounting for these provide a more accurate prediction of pressure wave propagation. The simulations carried out were second-order accurate in time and space by using the monotonic upwind scheme for conservative laws (MUSCL). The total variation diminishing (TVD) strategy was also implemented for stability reasons. To consider the second phase, a variation of the discrete gas and vapor cavity model was used. In conclusion, a comparison with experimental data, similar algorithm approaches, and the classical method of characteristics indicate a more effective approach for the simulation of pressure-wave propagation for compressible conditions.
Water hammer
Multiphase flow
Compressible flow
Transient (computer programming)
Total variation diminishing
Upwind scheme
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