• Title/Summary/Keyword: DAE Solver

Search Result 43, Processing Time 0.024 seconds

Helicopter Trim Analysis and Flight Simulation by Uising DAE Based PPTA (Partial Periodic Trimming Algorithm) (DAE 해법과 PPTA(Partial Periodic Trimming Algorithm)를 이용한 헬리콥터 트림해석 및 비행 시뮬레이션)

  • Kim,Chang-Ju
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.31 no.1
    • /
    • pp.42-48
    • /
    • 2003
  • To get a periodic trim solution from Level II helicopter flight dynamic equations, DAE based PPT A (partial Periodic Trimming Algorithm) has been proposed. Iterative update of state variables from PPT A can cause a numerical instability in DAE solver which needs compatible initial conditions. By simply adjusting the order of DAE solver a periodic trim can be obtained with good accuracy. Application for CBM (Common Baseline Model) helicopter showed the same trim result as harmonic balance method and the effective elimination of unrealistic initial responses at the start of flight simulation.

BOUNDARY COLLOCATION FAST POISSON SOLVER ON IRREGULAR DOMAINS

  • Lee, Dae-Shik
    • Journal of applied mathematics & informatics
    • /
    • v.8 no.1
    • /
    • pp.27-44
    • /
    • 2001
  • A fast Poisson solver on irregular domains, based on bound-ary methods, is presented. The harmonic polynomial approximation of the solution of the associated homogeneous problem provides a good practical boundary method which allows a trivial parallel processing for solution evaluation or straightfoward computations of the interface values for domain decomposition/embedding. AMS Mathematics Subject Classification : 65N35, 65N55, 65Y05.

A FAST POISSON SOLVER ON DISKS

  • Lee, Dae-Shik
    • Journal of applied mathematics & informatics
    • /
    • v.6 no.1
    • /
    • pp.65-78
    • /
    • 1999
  • We present a fast/parallel Poisson solver on disks, based on efficient evaluation of the exact solution given by the Newtonian potential and the Poisson integral. Derived from an integral formula-tion it is more accurate and simpler in parallel implementation and in upgrading to a higher order algorithm than an algorithm which solves the linear system obtained from a differential formulation.

Analysis of Shallow-Water Equations with HLLC Approximate Riemann Solver (HLLC Approximate Riemann Solver를 이용한 천수방정식 해석)

  • Kim, Dae-Hong;Cho, Yong-Sik
    • Journal of Korea Water Resources Association
    • /
    • v.37 no.10
    • /
    • pp.845-855
    • /
    • 2004
  • The propagation and associated run-up process of nearshore tsunamis in the vicinity of shorelines have been analyzed by using a two-dimensional numerical model. The governing equations of the model are the nonlinear shallow-water equations. They are discretized explicitly by using a finite volume method and the numerical fluxes are reconstructed with a HLLC approximate Riemann solver and weighted averaged flux method. The model is applied to two problems; The first problem deals with water surface oscillations, while the second one simulates the propagation and subsequent run-up process of nearshore tsunamis. Predicted results have been compared to available analytical solutions and laboratory measurements. A very good agreement has been observed.

A Study on Numerical Solution Methods in Stiff Constrained Mechanical Systems (강성 구속기계계의 해법에 관한 연구)

  • 한형석;박태원
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.19 no.2
    • /
    • pp.374-381
    • /
    • 1995
  • In this paper, integration methods for stiff constrained mechanical systems are studied to analyze dynamic response of the stiff mechanical system efficiently. The stiff, non-stiff systems are identified by using eigenvalues of the Jacobian of the systems. To integrate both stiff system and non-stiff system efficiently a new switching method between the non-stiff differential equation solver and the stiff differential equation solver is presented.

A Flow Analysis of Vectored Thrust Nozzle Using Incompressible Navier-Stokes Solver (비압축성 Navier-Stokes 방정식을 이용한 추력 편향 노즐 해석(원통에서 사각형으로 변환하는 내부 흐름을 중심으로))

  • Shin Dae-Yong;Yoon Yong-Hyun
    • 한국전산유체공학회:학술대회논문집
    • /
    • 1997.10a
    • /
    • pp.66-72
    • /
    • 1997
  • Circular-to-rectangular transition ducts are used as exhaust components of high performance fighter aircraft with vectored thrust nozzles. Three-dimensional incompressible Navier-Stokes solver is used to analyze the transition duct. Cross sections of transition duct are defined by superelliptic equation. The grid system is generated by Non-Uniform Rational B-Spline, after generating surface grid by blending the cross sections. Good agreement between the results of the computational simulation and the experimental data is observed.

  • PDF

DAM BREAK FLOW ANALYSIS WITH APPROXIMATE RIEMANN SOLVER

  • Kim, Dae-Hong
    • Water Engineering Research
    • /
    • v.4 no.4
    • /
    • pp.175-185
    • /
    • 2003
  • A numerical model to analyze dam break flows has been developed based on approximate Riemann solver. The governing equations of the model are the nonlinear shallow-water equations. The governing equations are discretized explicitly by using finite volume method and the numerical flux are reconstructed with weighted averaged flux (WAF) method. The developed model is verified. The first verification problem is about idealized dam break flow on wet and dry beds. The second problem is about experimental data of dam break flow. From the results of the verifications, very good agreements have been observed

  • PDF

PARALLEL OPTIMAL CONTROL WITH MULTIPLE SHOOTING, CONSTRAINTS AGGREGATION AND ADJOINT METHODS

  • Jeon, Moon-Gu
    • Journal of applied mathematics & informatics
    • /
    • v.19 no.1_2
    • /
    • pp.215-229
    • /
    • 2005
  • In this paper, constraint aggregation is combined with the adjoint and multiple shooting strategies for optimal control of differential algebraic equations (DAE) systems. The approach retains the inherent parallelism of the conventional multiple shooting method, while also being much more efficient for large scale problems. Constraint aggregation is employed to reduce the number of nonlinear continuity constraints in each multiple shooting interval, and its derivatives are computed by the adjoint DAE solver DASPKADJOINT together with ADIFOR and TAMC, the automatic differentiation software for forward and reverse mode, respectively. Numerical experiments demonstrate the effectiveness of the approach.

Performance Evaluation of a Thrust Reverser Using an Euler Solver (비장착 나셀의 역추력기 형상에 대한 3차원 Euler 유동해석)

  • Kim Soo Mi;Yang Soo Seok;Lee Dae Sung
    • 한국전산유체공학회:학술대회논문집
    • /
    • 1999.11a
    • /
    • pp.167-173
    • /
    • 1999
  • An Euler-based CFD tool has been developed for the performance evaluation of a thrust reverser mounted on a high bypass ratio turbofan engine. The computational domain surrounded by the ground and non-reflection boundary includes the whole nacelle configuration with a deployed thrust reverser. The numerical algorithm is based on the modified Godunovs scheme to allow the second order accuracy in both space and time. The grid system is generated by using eleven multi-blocks, of which the total cell number is 148,400. The thrust reverser is modeled as if it locates at the nacelle simply in all circumferential direction. The existence of a fan and an OGV(Outlet Guide Vane) is simulated by adopting the actuator disk concept, in which predetermined radial distributions of stagnation pressure ratio and adiabatic efficiency coefficient are used for the rotor type disk, and stagnation pressure losses and flow outlet angles for the stator type disk. All boundary conditions including the fan and OGV simulation are treated by Riemann solver. The developed solver is applied to a turbofan engine with a bypass ratio of about 5.7 and the diameter of the fan cowl of 83 inch. The computational results show that the Euler-based inviscid method is very useful and economical to evaluate the performance of thrust reversers.

  • PDF