• Title/Summary/Keyword: MUSCL-type

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Two-Dimensional Finite-Volume Unsteady-Flow Model for Shocks (충격파 모의를 위한 이차원 유한체적 비정상 흐름 모형)

  • Lee, Gil-Seong;Lee, Seong-Tae
    • Journal of Korea Water Resources Association
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    • v.31 no.3
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    • pp.279-290
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    • 1998
  • The height and speed of the shock wave are critical data in flood-control operations or in the design of channel walls and bridges along rivers with high flow velocities. Therefore, a numerical model is needed for simulating flow discontinuity over a wide range of conditions. In this study, a governing equation. As a Riemann solver Roe(1981)'s one is used. The model employs the modified MUSCL for handling the unstructured grids in this research. this model that adopts the explicit tradditional twl dimmensional dam break problems, two hydraulic dam break model is simulations, and a steady state simulation in a curved channel. Conclusions of this research are as follows : 1) the finite volume method can be combined with the Godonov-type method that is useful for modeling shocks. Hence, the finite volume method is suitable for modeling shocks. 2) The finite volume model combined with the modified MUSCL is successful in modeling shock. Therefore, modified MUSCL is proved to be valid.

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Cold Flow Simulation of $SF_{6}$ Puffer Circuit Breaker

  • Bae, Chae-Yoon;Jung, Hyun-Kyo;Shin, Sang-In;Park, Oh-Hyun
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • v.11B no.4
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    • pp.121-128
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    • 2001
  • Numerical schemes for the simulation of the cold gas flow in the SF6 puffer type circuit breaker is presented. The governing equation is axisymmetric compressible Euler Equation and FVM is used to analyze the behavior of flow. The upwind scheme is used to avoid numerical instability and MUSCL is used to obtain high order accuracy. For the efficient calculation, AF-ADI scheme is used. The simulation result shows good agreement with the experimental data.

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Multi-dimensional Limiting Strategy for Robust, Accurate and Efficient Computations of Compressible Flows on Unstructured Meshes

  • Park, Jin-Seok;Yoon, Sung-Hwan;Kim, Chon-Gam
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03a
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    • pp.378-385
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    • 2008
  • The present paper deals with the accurate and robust limiting procedure for the multi-dimensional flow analysis on unstructured meshes. The multi-dimensional limiting process (MLP) which was successfully proposed on structured grid system is extended to unstructured meshes. Based on MUSCL-type framework on unstructured meshes, the new slope limiter is devised to satisfy the MLP condition, which is quite effective to regulate the unwanted oscillations, especially on multiple dimensions. Considering the neighborhood based on the vertex of the cell, as well as the edge, this limiting strategy captures the multi-dimensional flow features very accurately with the proper stencils. From the various numerical results, these desirable characteristics of the proposed limiting strategy are clearly shown.

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Multi-dimensional Limiting Strategy for Robust, Accurate and Efficient Computations of Compressible Flows on Unstructured Meshes

  • Park, Jin-Seok;Yoon, Sung-Hwan;Kim, Chong-Am
    • 한국전산유체공학회:학술대회논문집
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    • 2008.10a
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    • pp.378-385
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    • 2008
  • The present paper deals with the accurate and robust limiting procedure for the multi-dimensional flow analysis on unstructured meshes. The multi-dimensional limiting process (MLP) which was successfully proposed on structured grid system is extended to unstructured meshes. Based on MUSCL-type framework on unstructured meshes, the new slope limiter is devised to satisfy the MLP condition, which is quite effective to regulate the unwanted oscillations, especially on multiple dimensions. Considering the neighborhood based on the vertex of the cell, as well as the edge, this limiting strategy captures the multi-dimensional flow features very accurately with the proper stencils. From the various numerical results, these desirable characteristics of the proposed limiting strategy are clearly shown.

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Transverse and Diagonal Mode Structures of Three-dimensional Detonation Wave (3차원 데토네이션 파의 수평 및 대각선 모드 파면 구조)

  • Cho Deok-Rae;Choi Jeong-Yeol
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • v.y2005m4
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    • pp.343-346
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    • 2005
  • Three dimensional structures of detonation wave propagating through a square-shaped duct were investigated using computational method and parallel processing. Inviscid fluid dynamics equations coupled with $variable-{\gamma}$ formulation and simplified one-step Arrhenius chemical reaction model were analysed by MUSCL-type TVD scheme and four stage Runge-Kutta time integration. The unsteady computational results in three dimension show the detailed mechanism of transverse mode and diagonal mode of detonation wave instabilities resulting same cell length but different cell width in smoked-foil record.

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Revised Surface Gradient Method for the Hyperbolic-Type Shallow-Water Equations on Irregular Bathymetry (불규칙 지형상의 쌍곡선형 천수방정식 해석을 위한 개선 표면경사법)

  • Kim Dae-Hong;Yi Yong-Kon;Cho Yong-Sik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.424-428
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    • 2005
  • 본 연구에서는 임의로 변화하는 지형상에 적용시에 보존 특성이 성립하는 쌍곡선형 천수방정식 해석 기법을 개발하였다. 일반적으로 쌍곡선형의 천수방정식은 상류와 사류를 쉽고 정확하게 해석할 수 있고, 또한 Euler 방정식 해석기법을 이용한 다양한 해석기법이 개발되어 있다는 장점을 지니고 있다. 그러나 바닥지형이 변화하는 경우, 생성항과 플럭스항 사이에 수치적 해석기법 차이에서 발생하는 수치적 불균형이 발생하여 수치모형의 적용성이 현저하게 저하된다. 따라서 본 연구에서는 이와 같은 현상을 개선하기 위하여, 기존의 표면경사법을 개선한 기법을 제시하였다. MUSCL-Hancock 기법과 HLLC 근사 Riemann 기법을 이용하였으며, 플럭스항과 수치적 균형을 이루기 위한 이산화기법을 제안하였다. 모형의 검증을 위하여 정상류 상태의 상류와 사류 해석을 수행하였고, 마른바닥에서의 댐붕괴파와 수직한 지형 변화를 갖는 수로상의 서지의 진행 등과 같은 부정류에 대하여 적용하였다. 적용결과, 매우 정확하고 수치적으로 안정된 계산결과를 얻었다.

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Hybrid RANS/LES simulation of Base-Bleed in Supersonic Flows (초음속 유동장에서 기저 분출 유동의 대와류 난류 모사)

  • Shin, Jae-Ryul;Won, Su-Hee;Choi, Jeong-Yeol
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2008.05a
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    • pp.332-335
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    • 2008
  • The purpose of this study is analysis of flow field where is around of injector of supersonic combustor which is bluff-body stabilized flame and hyper-mixer type of supersonic combustor injector by using hydrogen or hydrocarbon fuel. Various schemes are evaluated to supersonic backward step flow filed with massive separation region in validation step. Compounded scheme of 5th-order TVD-MUSCL, Roe FDS, S-A DES/DDES has a good performance in base and base-bleed flow.

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Numerical Requirements for the Simulation of Detonation Cell Structures (데토네이션 셀 구조 모사를 위한 수치적 요구 조건)

  • Choi Jeong-Yeol;Cho Deok-Rae
    • Journal of the Korean Society of Propulsion Engineers
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    • v.10 no.2
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    • pp.1-14
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    • 2006
  • Present study examines the numerical issues of cell structure simulation for various regimes of detonation phenomena ranging from weakly unstable to highly unstable detonations. Inviscid fluid dynamics equations with $variable-{\gamma} $ formulation and one-step Arrhenius reaction model are solved by a MUSCL-type TVD scheme and 4th order accurate Runge-Kutta time integration scheme. A series of numerical studies are carried out for the different regimes of the detonation phenomena to investigate the computational requirements for the simulation of the detonation wave cell structure by varying the reaction constants and grid resolutions. The computational results are investigated by comparing the solution of steady ZND structure to draw out the minimum grid resolutions and the size of the computational domain for the capturing cell structures of the different regimes of the detonation phenomena.

Numerical analysis of a flow field in gas atomization process using a TVD scheme (TVD기법을 이용한 가스 분무 공정의 유동장 해석)

  • Shim Eun Bo
    • 한국전산유체공학회:학술대회논문집
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    • 1996.05a
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    • pp.131-136
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    • 1996
  • The numerical method for the flow field of a gas atomization process is presented. For the analysis of the compressible supersonic jet flow of a gas. an axisymmetric Navier-Stokes equations are solved using a LU-factored upwind method. The MUSCL type TVD scheme is used for the discretization of inviscid flux, whereas Steger-Warming splitting and LU factorization is applied to the implicit operator. For the validation of the present method, we computed the flow field around the simple gas atomizer proposed by Issac. The numerical results has shown excellent agreement with the experimental data.

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Preconditioned Multistage time stepping for the Multigrid Navier-Stokes Solver (다중 격자 Navier-Stokes 해석을 위한 예조건화된 다단계 시간 전진 기법)

  • Kim Yoonsik;Kwon Jang Hyuk;Choi Yun Ho;Lee Seungsoo
    • 한국전산유체공학회:학술대회논문집
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    • 2002.05a
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    • pp.59-64
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    • 2002
  • In this paper, the preconditioned multistage time stepping methods which are popular multigrid smoothers is implemented for the compressible Navier-Stokes calculation with full-coarsening multigrid method. The convergence characteristic of the point-Jacobi and Alternating direction line Jacobi(DDADI) preconditioners are studied. The performance of 2nd order upwind numerical fluxes such as 2nd order upwind TVD scheme and MUSCL-type linear reconstruction scheme are compared in the inviscid and viscous turbulent flow caculations.

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