mmhmmmm i assume 10K men includes only the fighting men and not the logisitic
Can I have:
2000 Swiss pike,
3000 Mongol horse archers
2000 Japanese samurai - medium skirmishers
2000 English long bowmen
900 Chinese/Islamic Siege Engineers and Armorers - with light siege equipment such as traction catapults, ballistas, flame throwers (no rockets ehh? you know the Chinese have been using MRL and cannons since the 1200s)
100 General + body guard heavy European knights
Movement in enemy territory,
some mongols horse archers in troops of 50 are sent as scouts, to the front, side and rear. if they detect enemy, they will assess their strength and determine if they should retreat or press an attack if favorable. They are equipped with Chinese signal arrows which can allow them to communicate if they are ambushed; if they encounter a strong defensive position and is retreating; or if they had found a weakness in the enemy line to be exploited and more troops are to be sent. Other mongol troops in squadron of 500 will be used to wreak havoc behind enemy lines, raid towns, kill villagers, staking people, building pyramids of heads, destroy assembling forces etc.
the Swiss pike is divided into the vanguards and the rearguards. Where the Japanese samurai will protect the flanks. The long bowmen will march in front of the rear guard while the general + body guard travels in the center.
If the mongols fails to detect an ambush for the main army, and an ambush does take place. the Japanese will charge in and engage the ambushers to allow the Swiss pike to form up and the English long bows to form up (and to allow the engineering corp to form their train into defensive barricades. once that is complete the Japanese samurai will retreat and remain as a reserve force; the English long bowmen then plummets the enemy with 25~30 arrows per minute. The mongols will be recalled and intrinsically tasked to strike at the enemy's rear.
Pitch battle.
the Swiss pike will form the front of the army 2 ranks of 4 men deep to deter heavy cavalry charges. the english long bowmen are lined behind them with the siege engineers will set up their traction catapults to launch toxic smoke bombs and fire balls (such as petroleum wax with sulfur and chicken feathers, pots of venomous snakes, pots of flamable oils) at the enemy and the battlefield to break up assault formations (a 20 men traction catapult should through a 6 kg weight around 100 m and 3 kg weight around 200 m), The long bowmen will pepper the enemy out to a range of 200m).
The mongols will be deployed to the more exposed flank while the Japanese to the more secure flank. the mongols will play an agressive role in doing their famous attack pattern within bow reach but too far for defender's pikes to reach. The mongols also raids the rear of the enemy force preventing them from moving out of range of the english and the siege weapons. A smaller division of samurai will guard the exposed flank.
this continues until the enemy break rank (either because they are choking on poisonous gases or because where their formation should be is blocked by a flaming fields or by the weight of arrows). where the pikemen will move up in formation while the samurai will charge the front wile the mongols will charge the rear.
Siege
If the the guarantee of safety for surrender was not convincing enough with the staked bodies and pyramids of heads, then a siege will ensure.
If the fortification is ill prepared, the Samurai will lead the assault with ladders to open the gates with the long bowmen keeping the defenders occupied. after which the mongols will charge in for the slaughter.
Siege engineers will build counter weight trebuchets, siege towers, rams, encirclement walls, tunnel etc if the city/fortress/castle is well defended and traditional siege will ensure.
?