V 3 Rocket and Missiles Presentation Zeus Numerix

V 3 Rocket and Missiles Presentation@ Zeus Numerix Capabilities in design and development Rockets and Missile systems Abhishek Jain Build-to-Specifications | Product Approval | Engineering Services | Software Development

Presentation Overview § Zeus Numerix – an Introduction Journey started from CFD and FEM simulations for rockets and missiles No 1 Know-Why company in design of rockets and guided missiles § From configuration to internal and external ballistics, guidance and terminal phase Artillery Rocket Systems Missiles and Guided Projectiles Specialized Software Development § Team and Closure § The presentation is non-confidential and some data may be masked Legends in the presentation are not shown purposefully 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 2 2 © Zeus Numerix Pvt Ltd: Confidential Document § Non-confidential Case studies

1 st Project Completed Large Defense Project 2005 2004 Incubated at IIT Bombay Journey Begins with India’s 1 st Commercial CFD software! Control Software In-house development 2011 CEMILAC Certification 1 st Store Separation project complete 2012 2006 1 st Built-to-Spec project Supersonic ground vehicle developed 2010 2009 Fire Safety & Comfort Building fire and HVAC Parallel GPU code Devp Visualize big data – 4 billion points 2013 2015 2007 2008 CEM Software UAV RCS Reduced 1 st foreign missile project Integration & Certification Floating Panel Design Solar Panels in Lake 20 June 2019 Lockheed Innovation Medal & India Govt R&D Certificate CEM Software 2017 400 th project completed www. zeusnumerix. com/portfolio 2018 1 st MSME TDF Winner D&D of Composite Sea Water Pump Capabilities on Rockets and Missiles @ Zeus Numerix 2019 3 3 © Zeus Numerix Pvt Ltd: Confidential Document The Journey 1 st Software Export System design software: Korea

20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 4 4 © Zeus Numerix Pvt Ltd: Confidential Document Customers List: Partial

Accolades “Design Approval” by Centre for Military Airworthiness and Certification certified 20 June 2019 R&D Recognition as an R&D Unit by the Department of Scientific and Industrial Research Innovation Medal DST-FICCI-Lockheed Martin India Innovation Growth Medal 2007 for “Numerical Simulations” Capabilities on Rockets and Missiles @ Zeus Numerix 5 5 © Zeus Numerix Pvt Ltd: Confidential Document CEMILAC Certificate

Product Development Product Approval Engineering Services Software Development Initial sizing from first principles Performance estimate by analysis Design calculation reports Pre-processing Automation Detailed analysis based design Detailed Report Generation Analysis – CFD, FEM, CEM Solver development from Literature survey Prototype development Review with approval agency Failure analysis and design suggestions Visualization, parallel code CPU/GPU & GUI Testing and validation Final submission and product approval Multi-disciplinary design optimization System simulation tools 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 6 6 © Zeus Numerix Pvt Ltd: Confidential Document Core Offerings

Rockets and Missiles • Aerodynamics, aerothermal, structural • Guidance and real time models • Stealth and seeker training Special Software Hypersonic vehicle • Automated meshing software • Aeroelasticity, tip-off, image processing • Thermal protection, propellant, optimization Guided Missile Aerodynamics 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 7 7 © Zeus Numerix Pvt Ltd: Confidential Document Rockets • Aerodynamics – Spinning rockets • Aerostructural & aerothermal considerations • Dynamics and fire control computer

© Zeus Numerix Pvt Ltd: Confidential Document Artillery Rocket Systems Non-confidential examples of completed projects for artillery rocket systems 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 8 8

Aerodynamic MBRL Rocket Aerodynamic simulation done using structured mesh and RANS solver Spinning motion incorporated in solver to predict Coriolis forces (drift) Data matches well with limited wind tunnel studies 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 9 9 © Zeus Numerix Pvt Ltd: Confidential Document § Multi-Barrel Rocket Launcher fires spinning rockets

Tail Fin Design for Spinning Artillery Rocket § Simulation of various tail shapes and numbers for design considerations Variation in fin number (4, 6), fin shape (flat and circular) and cant angle Merits and demerits of each configuration Curved fin 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 10 10 © Zeus Numerix Pvt Ltd: Confidential Document Flat fin

Custom Aero-Structural Rocket Software § Estimate the bending loads on supersonic rocket due to pressure loads (Fluid Structure Interaction) Estimate pressure forces using CFD and bending using Finite Element (loosely coupled) § Tool developed to automatically transfer CFD loads to FEM Transfer of Pressure Field Pressure Variation on Surface (CFD) 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix Bending of Rocket at High Angle of Attack 11 11 © Zeus Numerix Pvt Ltd: Confidential Document Finite Element Model

Nozzle Cracking in Flight § Estimation of P-T curve for given propellant § Nozzle liners for safe operation Pressure estimation (CFD) and Transient thermal (FEM) 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix Temp profile after 5 sec 12 12 © Zeus Numerix Pvt Ltd: Confidential Document Heat flux – nozzle surface

Fire Control Computer & Trajectory Correction § Firing angle depending on the target elevation and bearing Corrections for tip-off, wind, manufacturing tolerances, Coriolis force, crest clearance etc. § Trajectory correction spinning rocket implemented to improve accuracy 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 13 13 © Zeus Numerix Pvt Ltd: Confidential Document § Image processing to validate tip-off and rocket velocity at exit

Aero-structural and Controls of Guided Rocket § Guidance with range and line correction Aerodynamic and structural design of canard for desired Cnδ with Aeroelastic considerations Autopilot design for control of rocket in flight § Design as per available actuators, motors, battery etc. CEP achieved below 5 m for an extended range rocket Two loop roll autopilot 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 14 14 © Zeus Numerix Pvt Ltd: Confidential Document Mesh

Rocket Loading Trolley Clearance 0. 5 mm between rocket and pod Concept design – Adjustable in height and lateral motion; 3. 5 ton load on trolley; manual insertion of rocket FEA, Design drawings, fabrication and testing complete 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 15 15 © Zeus Numerix Pvt Ltd: Confidential Document § Semiautomatic rocket loader in 2× 3 configuration

© Zeus Numerix Pvt Ltd: Confidential Document Missile Systems Missile design including aerodynamics, controls, structural and specialized applications 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 16 16

High Ao. A Analysis of Missile § Projectile has high angle of attack (Ao. A) manoeuvres at supersonic speeds To characterize lateral forces & rolling moment to maintain control § High fidelity viscous CFD employed Tabulated aerodynamic coefficients including component loads Eddies captured on leeward side for High Ao. A Literature confirms the behaviour 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 17 17 © Zeus Numerix Pvt Ltd: Confidential Document

Panel Separation § Freestream flow at 6. 5 Mach Initial 1 -Do. F: panel rotates about hinge; 6 Do. F after hinge breaking § Panel with nose separates slowly; Thin strakes inside panels modeled Mach Number 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 18 18 © Zeus Numerix Pvt Ltd: Confidential Document § Large stagnation region behind panels

System Software for Air-Breathing Engine § System level software development for supersonic air-breathing engine CFD Analysis for intake 1 D atomization and combustion analysis Global and Local models for coupled simulations 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 19 19 © Zeus Numerix Pvt Ltd: Confidential Document Ramjet Circular Intake

RCS of Projectiles and Training Seeker § Custom software made for generation of various projectile shapes Unstructured mesh generated with mesh density as per the incident frequency Parallel software implemented on the lab HPC scaled to 2000 cores Training of seeker with thousands of simulations from various incidence angles Automatic mesh generation as per frequency 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 20 20 © Zeus Numerix Pvt Ltd: Confidential Document Surface current

Missile Guidance and Control for SILS § Development of plant module for guidance 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 21 21 © Zeus Numerix Pvt Ltd: Confidential Document Build PC-in-Loop simulation with modules of Plant, OBC and Target Schematic of the code Take inspiration from existing code; convert to software elements with bus based technology and flexibility of reconfiguring; real time (RT) code implemented C++ code developed RTOS capability kept in mind

© Zeus Numerix Pvt Ltd: Confidential Document Specialized Software Custom developed software for special applications 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 22 22

Initial Design: SPRDesign™ § Preliminary Design of Solid Propellant Rocket Quick performance estimation of spinning rocket 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 23 23 © Zeus Numerix Pvt Ltd: Confidential Document § Includes key modules like Aerodynamics (DATCOM), structural (inertial properties), internal ballistics (P-t for Finocyl grain) & dynamics (for range & velocity profile)

Custom Software: Missile Configurations § Design of missiles and rockets using CFD Customized software for quick and high fidelity aero analysis of missile configurations Automated mesh generation with clustering as per Reynolds number (y+ < 5) 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 24 24 © Zeus Numerix Pvt Ltd: Confidential Document § CNα & CNδ were predicted within 3% of wind tunnel values

Customized Aero Elasticity Analysis Software for Slender Spinning Rockets § Estimation of aero-elastic phenomena of spinning rocket Good comparison with Zeta factor and Q divergence Limited literature on the topic causes validation issues DRDL 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 25 25 © Zeus Numerix Pvt Ltd: Confidential Document § Inter-code comparison with DRDL data

Thermal Protection Liner § Simulation of charring ablation of thermal protection liner on rocket nozzle Processes like Heat Conduction, Convection due to the pyrolysis gases, resistance to heat diffusion in inward layer modeled Moving boundaries – Ablative and Pyrolysis surfaces modeled with time Temperature Vs. Time estimated 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 26 26 © Zeus Numerix Pvt Ltd: Confidential Document

Particle Packing of Solid Propellants § Calculation of packing fraction for known particle density § Optimization algorithm for given propellant density, weight or packing fraction Optimum properties for meeting one of the above criteria 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 27 27 © Zeus Numerix Pvt Ltd: Confidential Document

Custom Software for Solid Propellant Mixing § Custom software development for process optimization of solid propellant mixing CFD simulation of planetary kneading type mixer Optimize mixing time and speed at each stage; achieve homogeneity 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 28 28 © Zeus Numerix Pvt Ltd: Confidential Document Estimates Mixing time, Dimensionless mixing time, Volumetric strain rate, Dispersive mixing index, Power number, Circulation number, Dimensionless Circulation number Shape not shown purposefully

© Zeus Numerix Pvt Ltd: Confidential Document Team and Closure Details of the team and consultants and summary of presentation 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 29 29

Core Team § Prof Gopal Shevare (Chairman) – Ph. D IIT Bombay with 40+ years research exp Expert in MDO, fluid dynamics, numerical methods and simulation product development § Basant Kumar Gupta (CEO) – Masters IIT Bombay with 16 years experience Expert in preliminary design, project management, Expert in mesh generation, drawings, product development and vendor management § Sumit Jana (Head – Solver Devp) – Masters IIT Kharagpur with 12 years exp Expert in parallel solver development for CFD, Electromagnetics and free surface flows § Suman Mohandas (Head – Software Devp & Visualization) – Bachelors Computer Expert in new software development, visualization, parallelization and GUI § Ten engineers certified by CEMILAC including above 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 30 30 © Zeus Numerix Pvt Ltd: Confidential Document § Irshad Khan (COO) – Bachelor Mechanical with 22 years experience

Consultants and Collaborations § MOUs and Collaborations Centre for development of advanced computing – HPC usage in Teraflops NIT Nagpur – Joint R&D projects in coupled problems (CFD+FEM) IIITDM – Joint projects of analysis adding to product development Mr. SG Joshi – 40+ years experience in pump design and manufacturing Prof S C Lakkad – 45+ years experience in composite design and manufacturing process Prof K Sinhamahapatra – 20+ years experience in acoustic prediction Mr S Panse and H Ketkar – 35+ year exp in tool room, jigs/fixture design, special projects Mr V Kamat – 40+ years experience in hydraulic machine design, fabrication & maintenance Mr A Patki – 40+ years experience in space systems for reliability and weight reduction 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 31 31 © Zeus Numerix Pvt Ltd: Confidential Document § Expert Panel (partial)

Closure § Experience of 400+ high tech projects in both strategic and industrial sectors Engineers trained in Aerospace grade quality and confidentiality Modular code development with high reusability Experience of parallelization and cloud computing § Domain expertise in aforementioned sectors Contribution by the engineering team enhanced to design suggestions § Flexible engagement model Fixed cost, Time and Material, Cost plus or models as per problem statement § Unafraid to take R&D projects – Test Us 20 June 2019 Capabilities on Rockets and Missiles @ Zeus Numerix 32 32 © Zeus Numerix Pvt Ltd: Confidential Document § Robust engineering software development experience

Thank You ! Abhishek Jain +91 98190 09836 abhishek@zeusnumerix. com www. zeusnumerix. com 33