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PART-A QUES TIO NS
(2 MARKS)
1. What are the important application o! "#$ in
en%ineerin%&
2. $i tin%'i h et een conservation an* non-conservation !orm o!
!l'i* !lo +
3. Write *o n the con er,ati,e !orm o! the contin'it e.'ation
an* e/plain the term
in,ol,e*+
4. What i the ph ical i%ni!icance0meanin% o! the ,ario' term in
con er,ation !orm
o! moment'm e.'ation&
5. Write *o n an e/pre ion !or ' tantial *eri,ati,e in "arte ian
coor*inate +
6. 1i t o't a*,anta%e* o! panel metho*+
7. E/plain the *i!!ic'ltie o! e,al'atin% the in!l'ence o! a
panel at it o n control point+8. What are limitation o! panel
metho* &
9. $e!ine (a) "on,er%ence an* ( ) 1a/ e.'i,alence theorem
10. Ela orate the a ic a pect o! the !inite *i!!erence e.'ation
+
11. Write *o n the i%ni!icance o! Taylor series expansion.
12. Write *o n the econ* or*er central mi/e* !inite *i!!erence
e/pre ion !or
13. E/plain cell-centere* metho*+
14. $e!ine stability in n'merical ol'tion o! !l'i* !lo %o,ernin%
e.'ation +
15. $e!ine convergence in n'merical ol'tion o! !l'i* !lo
%o,ernin% e.'ation +
16. Write *o n the econ* or*er central mi/e* !inite *i!!erence
e/pre ion !or $ heat
con*'ction e.'ation+
17. $i c' the nee* o! 'p in* t pe *i creti3ation+
18. Name the important error that commonl occ'r in n'merical
ol'tion+
19. Tran !orm the tea* 4 incompre i le contin'it e.'ation !rom
/4 ph ical plane to
26. What i the nece it !or ta%%ere* %ri* in control ,ol'me
metho*&
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27. 1i t o't *i!!erence et een fini te volume an* fini te
diference metho* +
28. $e!ine peclet number an* tate it importance&
29. What i the nece it o! tron% an* ea5 !orm'lation in o'n*ar
,al'e pro lem &
30. What t pe o! %ri* are %enerall ' e* in #inite 6ol'me
Metho*&
PART-7 QUESTION S ( 8 MARK S)
1. (i) What i the nee* !or cla i!ication o! P$E an* ho *o o' cla
i! econ* or*er
P$E& 9:;
(ii) What are the *i creti3ation techni.'e an* ho *o o' *i
creti3e the e.'ation !or
' onic an* 'per onic !lo & 9:;
2. Write *o n the elliptic4 para olic an* h per olic partial
*i!!erential e.'ation a
applica le to comp'tational !l'i* * namic +
3. (a) $eri,e the contin'it e.'ation in *i!!erential !orm !or in
compre i le !lo + 9
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tran !ormation& 9:;
(ii) Ill' trate the a ic i*ea o! al%e raic tran !ormation o! t o
*imen ional4 tea* 4
o'n*ar la er !lo o,er !lat plate ith 'ita le tran !ormation
relation + 9:;
11. E/plain the %ri* %eneration techni.'e a e* on P$E an*
'mmari3e the a*,anta%e
o! the elliptic %ri* %eneration metho*+
2+ (i) What i the nee* !or %ri* %eneration& Mention the
*i!!erent %ri* %eneration
techni.'e an* li t *o n their relati,e merit an* *emerit +
98;
(ii) E/plain ho %ri* %eneration i achie,e* n'merical ol'tion o!
elliptic Poi on ?
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20. St'* the ta ilit eha,io'r o! econ* or*er a,e e.'ation
6on-Ne'man ta ilit
metho*+
21. (i) E/plain e/plicit 1a/-Wen*ro!! cheme o! time *epen*ent
metho* + 9:;
(ii) $i c' cell centere* !orm'lation in #inite 6ol'me Techni.'e
+ 9:;
22. What are .'a*rilateral 1a%ran%e element an* i oparametric
element in #EM&
23. $ra a !lo chart an* *e cri e SIMP1E al%orithm !or t o-*imen
ional laminar
tea* !lo e.'ation in "arte ian co-or*inate +
24. Sol,e the impli!ie* St'rn-1io,ille e.'ation@
With o'n*ar con*ition (o characteri tic line are relate* to
"o'rant n'm er !rom ta ilit ,ie & E/plain+
34. (a) $eri,e
9:;
( ) Write hort note on
(i) "on i tenc (ii) "on,er%ence (iii) Sta ilit 9:;
35. (a) $eri,e the !or ar* an* central *i!!erence4 appro/imation
to the !ir t *eri,ati,e4
alon% ith the lea*in% error term+ 9:;
( ) $eri,e the ta ilit criterion ("#1 con*ition ) !or the I t
or*er a,e e.'ation+ 9:;
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D + #or the !ollo in% e.'ation@
(a) O tain *i creti3e* !orm o! !inite *i!!erence .'otient+( ) U
in% e/plicit metho*4 rite al%e raic e.'ation !or F G F %ri*+(c)
E/plain an n'merical metho* to o tain ol'tion !or temperat're + 9
8;
D8+ E/plain the !ollo in% ith merit an* *emerit +
9 8;
a) E/plicit metho* ) Implicit metho*c) Semi-implicit metho*
DH+ $e cri e the Mac"orma5 ? techni.'e !or e,al'atin% the *en it
at time tep (t J t)+
