• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2001년도 춘계 학술대회논문집
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• pp.51-59
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• 2001

An evaluation of one zero-equation and two one-equation eddy viscosity-transport turbulence closure models as implemented CFDS(Characteristic Flux Difference Splitting ) code is presented herein. Comparisons of Baldwin-Lomax model as zero-equation and Baldwin-Barth and Spalart-Allmaras model as one-equation are presented for three test cases, first inlvolving the 3 dimensional supersonic flow at M=1.98 over tangent ogive cylinder, second involving the 2 dimensional transonic flow at M=0.79 over RAE 2822 airfoil, third involving the 3 dimensional transonic flow at M=0.84 over ONERA M6 wing. The numerical results of CFDS code will also examined through direct comparison with experimental data.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제3권2호
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• pp.161-171
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• 1999

Aerodynamic sensitivity analysis codes are developed via the hand-differentiation using a direct differentiation method and an adjoint method respectively from discrete two-dimensional compressible Navier-Stokes equations. Unlike previous other researches, Baldwin-Lomax algebraic turbulence model is also differentiated by hand to obtain design sensitivities with respect to design variables of interest in turbulent flows. Discrete direct sensitivity equations and adjoint equations are efficiently solved by the same time integration scheme adopted in the flow solver routine. The required memory for the adjoint sensitivity code is greatly reduced at the cost of the computational time by allowing the large banded flux jacobian matrix unassembled. Direct sensitivity code results are found to be exactly coincident with sensitivity derivatives obtained by the finite difference. Adjoint code results of a turbulent flow case show slight deviations from the exact results due to the limitation of the algebraic turbulence model in implementing the adjoint formulation. However, current adjoint sensitivity code yields much more accurate sensitivity derivatives than the adjoint code with the turbulence eddy viscosity being kept constant, which is a usual assumption for the prior researches.

• 한국추진공학회:학술대회논문집
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• 한국추진공학회 2004년도 제22회 춘계학술대회논문집
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• pp.825-830
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• 2004

A numerical analysis based on two-dimensional and three-dimensional incompressible Navier-Stokes equations has been carried out for double-circular-arc (DCA) compressor cascades. Two types of double-circular-arc cascades were used in this analysis. The appropriate turbulence model for compressor analysis was selected among the conventional turbulence models such as Baldwin-Lomax, k-$\varepsilon$ and k-$\varepsilon$ models. The results of current study were compared with available experimental data at various incidence angles. The 2-D and 3-D computational codes based on SIMPLE/PWIM algorithm for collocated grid and hybrid scheme for the convective terms were the main features of numerical tools. As commonly known, turbulence modeling is very important for the prediction of cascade flows, which are extremely complex with separation and reattachment by adverse pressure gradient. For selection of turbulence model, 2-D analysis was performed. And then, k-$\varepsilon$ turbulence model with wall function chosen as the reasonable turbulence model for 3-D calculation was used to increase the efficiency of computation times. A reasonable result of 3-D flow pattern passing through the double-circular-arc cascade was obtained.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2000년도 추계 학술대회논문집
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• pp.15-24
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• 2000

The transient response of an airfoil to a rapidly deploying spoiler is numerically investigated using the turbulent compressible Navier-Stokes equations in two dimensions. Algebraic Baldwin-Lomax model, Wilcox $\kappa-\omega$ model, and SST $\kappa-\omega$ turbulence model are used to calculate the unsteady separated flow due to the rapid spoiler deployment. The spoiler motion relative to a stationary airfoil is treated by an overset grid hounded by a Dynamic Domain-Dividing Line which has been devised by the authors. The adverse effects of the spoiler influenced by the spoiler location and the hinge gap are expounded. The numerical results are in reasonably good agreement with the existing experimental data.

• 한국항공우주학회지
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• 제30권3호
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• pp.105-114
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• 2002

효율적인 난류 유동장 해석을 위해 CFDS 기법에 1개의 대수적 난류 모델과 2개의 1-방정식 난류 모델이 적용되었다. 대수적 난류 모델인 Baldwin-Lomax 난류모델과 1-방정식 난류 모델인 Baldwin-Barth, Spa lart-Allmaras 난류 모델을 비교하기 위해 2차원 유동에 대해서 2가지 경우, 3차원 유동에 대해서는 3가지 경우에 대해 해석하였다. CFDS 기법의 수치적 결과의 타당성은 실험치와의 비교를 통하여 입증하였다.

• 대한조선학회논문집
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• 제37권2호
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• pp.70-76
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• 2000

2차원 순환 제어 날개 주위의 점성 유동을 수치적으로 해석하여 선박 해양 분야에 적용하기 위한 기초적 연구를 수행하였다. 지배 방정식으로는 2차원 비 압축성 RANS 방정식과 연속 방정식을 사용하였으며, 유한 차분법과 MAC법을 이용하여 이를 차분화 하였다. 또한, 압력 Poisson 방정식은 SOR 법을 이용하여 계산하였고, 모든 물리량이 격자점에 위치하도록 하였으며, 슬롯의 형상을 잘 표현하기 위해 격자계가 엇갈린 O형 비교차 중첩 격자계를 도입하였다. 코앤다 효과는 주로 난류 영역에서 나타나므로 수정된 Baldwin-Lomax 난류 모델을 도입하였다. 본 연구에서는 이러한 수치 계산 조직을 활용하여 뒷날이 원형으로 변형된 20% 두께의 타원 날개에 대한 코앤다 효과를 조사하기 위하여 분사 모멘텀을 달리 하며 시간에 따른 양 항력 특성의 변화를 계산하고, 그 결과를 실험치와 비교하여 잘 일치함을 보였다.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2004년도 추계 학술대회논문집
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• pp.47-51
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• 2004

Accurate Prediction of a supersonic missile base drag continues to defy even well-rounded CFD codes. In an effort to address the accuracy and predictability of the base drags, the influence of grid system and competitive turbulence models on the base drag is analyzed. Characteristics of some turbulence models is reviewed through incompressible turbulent flow over a flat plate, and performance for the base drag prediction of several turbulence models such as Baldwin-Lomax(B-L), Spalart-Allmaras(S-A), $\kappa-\epsilon$, $\kappa-\omega$ model is assessed. When compressibility correction is injected into the S-A model, prediction accuracy of the base drag is enhanced. The NSWC wind tunnel test data are utilized for comparison of CFD and semi-empirical codes on the accuracy of base drag predictability: they are about equal, but CFD tends to perform better. It is also found that, as angle of attack of a missile with control (ins increases, even the best CFD analysis tool we have lacks the accuracy needed for the base drag prediction.

• 대한기계학회논문집
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• 제18권3호
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• pp.653-661
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• 1994

In this paper the CSCM type upwind flux difference splitting Navier-Stokes method has been applied to study the ARL-SL19 supersonic/transonic compressor cascade flow. H-type grid was chosen for its simplicity in applying cyclic tridiagonal matrix algorithm along with conventional slip/no-slip boundary conditions. The thin-layer algebraic model of Baldwin-Lomax was employed for the calculation of turbulent flows. The test case inlet Mach No. was 1.612 and inlet/exit pressure ratio($P_2/P_1$) was 2.15. The results were compared with experimental results from current method were compared well in suction surface with the experiments and other computational results; however, not well in pressure surface. It might be due to the complex flowfields such as shock/boundary layer interaction, turbulence, and flow separation, etc. In the future, a proper turbulence modelling and adaptive grid system will be studied to improve the solution quality.

• 한국전산유체공학회지
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• 제1권1호
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• pp.64-70
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• 1996

Three dimensional turbulent flow fields around ships are simulated by a numerical method. Reynolds Averaged Navier-Stokes equations are used where Reynolds stresses are approximated by Baldwin-Lomax and Sub-Grid Scale(SGS) turbulence models. Body-fitted coordinate system is introduced to conform three dimensional ship geometries. The governing equations are discretized by a finite volume method. Temporal derivatives are approximated by the forward differencing and the convection terms are approximated by the QUICK or Kawamura scheme. The 2nd-order centered differencing is used for other spatial derivatives. Pressure and velocity fields are simultaneously iterated by the Highly Simplified Marker-And-Cell method. To verify the numerical method and turbulence models, flow fields around ships are simulated and compared to the experiments.

• 대한조선학회논문집
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• 제33권2호
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• pp.13-29
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• 1996

이 논문은 자유표면을 포함하는 시리즈 60($C_B=0.6$)선형 주위 유동장에 대한 계산결과를 보여준다. 지배 방정식으로는 3차원 Navier-Stokes 방정식을 사용하고, 높은 레이놀즈수에서의 난류 유동장을 계산하기 위하여 Baldwin-Lomax난류모형을 채용하였으며 계산시간을 줄이기 위해 물체 표면에서는 벽법칙을 채용하였다. 지배 방정식은 유한 차분법에 의해 차분화 되었으며, 음해법[1]에 의해, 압력 Poisson방정식은 완화법(successive-over-relaxation method)에 의해 프로그램을 구성하였다. 자유표면 유동을 정확히 계산하기 위해서는, 동역학적 자유표면 경계조건식의 수치해법이 매우 중요하다. 이 논문에서는 세 가지의 수치해법을 채용하여 그 결과를 실험결과와 비교하였다. 결론적으로, 계산된 저항계수($C_F,\;C_P$와 파형은 실험 값과 잘 일치하고 있다.